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Finding the Third Proportional to 10,407 and 22,541

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Solution

The third proportional to 10,407 and 22,541 is: 48,822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407 : 22,541 = 22,541 : x
  2. Step 2: Convert to fraction form
    10,407/22,541 = 22,541/x
  3. Step 3: Cross multiply
    10,407x = 22,541 × 22,541
  4. Step 4: Simplify right side
    10,407x = 508,096,681
  5. Step 5: Solve for x
    x = 508,096,681/10,407
  6. Step 6: Final answer
    x = 48,822.59

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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.