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Finding the Third Proportional to 10,022.13 and 21,752.13

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Solution

The third proportional to 10,022.13 and 21,752.13 is: 47,211.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.13 : 21,752.13 = 21,752.13 : x
  2. Step 2: Convert to fraction form
    10,022.13/21,752.13 = 21,752.13/x
  3. Step 3: Cross multiply
    10,022.13x = 21,752.13 × 21,752.13
  4. Step 4: Simplify right side
    10,022.13x = 473,154,942.02
  5. Step 5: Solve for x
    x = 473,154,942.02/10,022.13
  6. Step 6: Final answer
    x = 47,211.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.