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Finding the Third Proportional to 4,772.25 and 11,281.50

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Solution

The third proportional to 4,772.25 and 11,281.50 is: 26,669.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.25 : 11,281.50 = 11,281.50 : x
  2. Step 2: Convert to fraction form
    4,772.25/11,281.50 = 11,281.50/x
  3. Step 3: Cross multiply
    4,772.25x = 11,281.50 × 11,281.50
  4. Step 4: Simplify right side
    4,772.25x = 127,272,242.25
  5. Step 5: Solve for x
    x = 127,272,242.25/4,772.25
  6. Step 6: Final answer
    x = 26,669.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.