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Finding the Third Proportional to 10,521.28 and 22,501.83

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Solution

The third proportional to 10,521.28 and 22,501.83 is: 48,124.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.28 : 22,501.83 = 22,501.83 : x
  2. Step 2: Convert to fraction form
    10,521.28/22,501.83 = 22,501.83/x
  3. Step 3: Cross multiply
    10,521.28x = 22,501.83 × 22,501.83
  4. Step 4: Simplify right side
    10,521.28x = 506,332,268.97
  5. Step 5: Solve for x
    x = 506,332,268.97/10,521.28
  6. Step 6: Final answer
    x = 48,124.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.