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Finding the Third Proportional to 39,457.50 and 84,466.13

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Solution

The third proportional to 39,457.50 and 84,466.13 is: 180,815.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,457.50 : 84,466.13 = 84,466.13 : x
  2. Step 2: Convert to fraction form
    39,457.50/84,466.13 = 84,466.13/x
  3. Step 3: Cross multiply
    39,457.50x = 84,466.13 × 84,466.13
  4. Step 4: Simplify right side
    39,457.50x = 7,134,526,272.52
  5. Step 5: Solve for x
    x = 7,134,526,272.52/39,457.50
  6. Step 6: Final answer
    x = 180,815.47

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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.