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Finding the Third Proportional to 15,752.25 and 21,701.25

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Solution

The third proportional to 15,752.25 and 21,701.25 is: 29,896.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,752.25 : 21,701.25 = 21,701.25 : x
  2. Step 2: Convert to fraction form
    15,752.25/21,701.25 = 21,701.25/x
  3. Step 3: Cross multiply
    15,752.25x = 21,701.25 × 21,701.25
  4. Step 4: Simplify right side
    15,752.25x = 470,944,251.56
  5. Step 5: Solve for x
    x = 470,944,251.56/15,752.25
  6. Step 6: Final answer
    x = 29,896.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.