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Finding the Third Proportional to 39,371.06 and 53,042.34

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Solution

The third proportional to 39,371.06 and 53,042.34 is: 71,460.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,371.06 : 53,042.34 = 53,042.34 : x
  2. Step 2: Convert to fraction form
    39,371.06/53,042.34 = 53,042.34/x
  3. Step 3: Cross multiply
    39,371.06x = 53,042.34 × 53,042.34
  4. Step 4: Simplify right side
    39,371.06x = 2,813,490,230.49
  5. Step 5: Solve for x
    x = 2,813,490,230.49/39,371.06
  6. Step 6: Final answer
    x = 71,460.87

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.