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Finding the Third Proportional to 47,728.13 and 81,501.19

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Solution

The third proportional to 47,728.13 and 81,501.19 is: 139,172.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,728.13 : 81,501.19 = 81,501.19 : x
  2. Step 2: Convert to fraction form
    47,728.13/81,501.19 = 81,501.19/x
  3. Step 3: Cross multiply
    47,728.13x = 81,501.19 × 81,501.19
  4. Step 4: Simplify right side
    47,728.13x = 6,642,443,563.91
  5. Step 5: Solve for x
    x = 6,642,443,563.91/47,728.13
  6. Step 6: Final answer
    x = 139,172.52

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.