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Finding the Third Proportional to 10,536.57 and 22,572.42

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Solution

The third proportional to 10,536.57 and 22,572.42 is: 48,356.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.57 : 22,572.42 = 22,572.42 : x
  2. Step 2: Convert to fraction form
    10,536.57/22,572.42 = 22,572.42/x
  3. Step 3: Cross multiply
    10,536.57x = 22,572.42 × 22,572.42
  4. Step 4: Simplify right side
    10,536.57x = 509,514,229.30
  5. Step 5: Solve for x
    x = 509,514,229.30/10,536.57
  6. Step 6: Final answer
    x = 48,356.77

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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.