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Finding the Third Proportional to 39,430.31 and 85,515.59

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Solution

The third proportional to 39,430.31 and 85,515.59 is: 185,464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,430.31 : 85,515.59 = 85,515.59 : x
  2. Step 2: Convert to fraction form
    39,430.31/85,515.59 = 85,515.59/x
  3. Step 3: Cross multiply
    39,430.31x = 85,515.59 × 85,515.59
  4. Step 4: Simplify right side
    39,430.31x = 7,312,916,440.37
  5. Step 5: Solve for x
    x = 7,312,916,440.37/39,430.31
  6. Step 6: Final answer
    x = 185,464.34

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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.