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Finding the Third Proportional to 39,430.13 and 84,391.88

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Solution

The third proportional to 39,430.13 and 84,391.88 is: 180,623.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,430.13 : 84,391.88 = 84,391.88 : x
  2. Step 2: Convert to fraction form
    39,430.13/84,391.88 = 84,391.88/x
  3. Step 3: Cross multiply
    39,430.13x = 84,391.88 × 84,391.88
  4. Step 4: Simplify right side
    39,430.13x = 7,121,988,566.02
  5. Step 5: Solve for x
    x = 7,121,988,566.02/39,430.13
  6. Step 6: Final answer
    x = 180,623.03

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.