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Finding the Third Proportional to 39,381.19 and 53,057.53

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Solution

The third proportional to 39,381.19 and 53,057.53 is: 71,483.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,381.19 : 53,057.53 = 53,057.53 : x
  2. Step 2: Convert to fraction form
    39,381.19/53,057.53 = 53,057.53/x
  3. Step 3: Cross multiply
    39,381.19x = 53,057.53 × 53,057.53
  4. Step 4: Simplify right side
    39,381.19x = 2,815,101,622.34
  5. Step 5: Solve for x
    x = 2,815,101,622.34/39,381.19
  6. Step 6: Final answer
    x = 71,483.41

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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.