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Finding the Third Proportional to 38,710.09 and 84,801.30

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Solution

The third proportional to 38,710.09 and 84,801.30 is: 185,772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,710.09 : 84,801.30 = 84,801.30 : x
  2. Step 2: Convert to fraction form
    38,710.09/84,801.30 = 84,801.30/x
  3. Step 3: Cross multiply
    38,710.09x = 84,801.30 × 84,801.30
  4. Step 4: Simplify right side
    38,710.09x = 7,191,261,276.70
  5. Step 5: Solve for x
    x = 7,191,261,276.70/38,710.09
  6. Step 6: Final answer
    x = 185,772.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.