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Finding the Third Proportional to 21,988.38 and 51,854.88

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Solution

The third proportional to 21,988.38 and 51,854.88 is: 122,288.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,988.38 : 51,854.88 = 51,854.88 : x
  2. Step 2: Convert to fraction form
    21,988.38/51,854.88 = 51,854.88/x
  3. Step 3: Cross multiply
    21,988.38x = 51,854.88 × 51,854.88
  4. Step 4: Simplify right side
    21,988.38x = 2,688,928,061.27
  5. Step 5: Solve for x
    x = 2,688,928,061.27/21,988.38
  6. Step 6: Final answer
    x = 122,288.62

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.