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Finding the Third Proportional to 39,430.13 and 85,417.88

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Solution

The third proportional to 39,430.13 and 85,417.88 is: 185,041.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,430.13 : 85,417.88 = 85,417.88 : x
  2. Step 2: Convert to fraction form
    39,430.13/85,417.88 = 85,417.88/x
  3. Step 3: Cross multiply
    39,430.13x = 85,417.88 × 85,417.88
  4. Step 4: Simplify right side
    39,430.13x = 7,296,213,369.52
  5. Step 5: Solve for x
    x = 7,296,213,369.52/39,430.13
  6. Step 6: Final answer
    x = 185,041.60

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.