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Finding the Third Proportional to 10,882.32 and 23,814.95

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Solution

The third proportional to 10,882.32 and 23,814.95 is: 52,116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.32 : 23,814.95 = 23,814.95 : x
  2. Step 2: Convert to fraction form
    10,882.32/23,814.95 = 23,814.95/x
  3. Step 3: Cross multiply
    10,882.32x = 23,814.95 × 23,814.95
  4. Step 4: Simplify right side
    10,882.32x = 567,151,806.29
  5. Step 5: Solve for x
    x = 567,151,806.29/10,882.32
  6. Step 6: Final answer
    x = 52,116.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.