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Finding the Third Proportional to 54,848.25 and 82,948.50

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Solution

The third proportional to 54,848.25 and 82,948.50 is: 125,445.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,848.25 : 82,948.50 = 82,948.50 : x
  2. Step 2: Convert to fraction form
    54,848.25/82,948.50 = 82,948.50/x
  3. Step 3: Cross multiply
    54,848.25x = 82,948.50 × 82,948.50
  4. Step 4: Simplify right side
    54,848.25x = 6,880,453,652.25
  5. Step 5: Solve for x
    x = 6,880,453,652.25/54,848.25
  6. Step 6: Final answer
    x = 125,445.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.