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Finding the Third Proportional to 48,782.25 and 106,483.50

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Solution

The third proportional to 48,782.25 and 106,483.50 is: 232,435.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,782.25 : 106,483.50 = 106,483.50 : x
  2. Step 2: Convert to fraction form
    48,782.25/106,483.50 = 106,483.50/x
  3. Step 3: Cross multiply
    48,782.25x = 106,483.50 × 106,483.50
  4. Step 4: Simplify right side
    48,782.25x = 11,338,735,772.25
  5. Step 5: Solve for x
    x = 11,338,735,772.25/48,782.25
  6. Step 6: Final answer
    x = 232,435.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.