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Finding the Third Proportional to 21,126.66 and 31,624.17

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Solution

The third proportional to 21,126.66 and 31,624.17 is: 47,337.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,126.66 : 31,624.17 = 31,624.17 : x
  2. Step 2: Convert to fraction form
    21,126.66/31,624.17 = 31,624.17/x
  3. Step 3: Cross multiply
    21,126.66x = 31,624.17 × 31,624.17
  4. Step 4: Simplify right side
    21,126.66x = 1,000,088,246.78
  5. Step 5: Solve for x
    x = 1,000,088,246.78/21,126.66
  6. Step 6: Final answer
    x = 47,337.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.