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Finding the Third Proportional to 32,024.25 and 51,159.38

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Solution

The third proportional to 32,024.25 and 51,159.38 is: 81,728.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,024.25 : 51,159.38 = 51,159.38 : x
  2. Step 2: Convert to fraction form
    32,024.25/51,159.38 = 51,159.38/x
  3. Step 3: Cross multiply
    32,024.25x = 51,159.38 × 51,159.38
  4. Step 4: Simplify right side
    32,024.25x = 2,617,281,650.39
  5. Step 5: Solve for x
    x = 2,617,281,650.39/32,024.25
  6. Step 6: Final answer
    x = 81,728.12

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.