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Finding the Third Proportional to 32,143.50 and 49,966.88

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Solution

The third proportional to 32,143.50 and 49,966.88 is: 77,673.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,143.50 : 49,966.88 = 49,966.88 : x
  2. Step 2: Convert to fraction form
    32,143.50/49,966.88 = 49,966.88/x
  3. Step 3: Cross multiply
    32,143.50x = 49,966.88 × 49,966.88
  4. Step 4: Simplify right side
    32,143.50x = 2,496,688,597.27
  5. Step 5: Solve for x
    x = 2,496,688,597.27/32,143.50
  6. Step 6: Final answer
    x = 77,673.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.