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Finding the Third Proportional to 10,537.75 and 24,445.71

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Solution

The third proportional to 10,537.75 and 24,445.71 is: 56,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.75 : 24,445.71 = 24,445.71 : x
  2. Step 2: Convert to fraction form
    10,537.75/24,445.71 = 24,445.71/x
  3. Step 3: Cross multiply
    10,537.75x = 24,445.71 × 24,445.71
  4. Step 4: Simplify right side
    10,537.75x = 597,592,496.77
  5. Step 5: Solve for x
    x = 597,592,496.77/10,537.75
  6. Step 6: Final answer
    x = 56,709.68

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.