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Finding the Third Proportional to 16,733 and 24,541

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Solution

The third proportional to 16,733 and 24,541 is: 35,992.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,733 : 24,541 = 24,541 : x
  2. Step 2: Convert to fraction form
    16,733/24,541 = 24,541/x
  3. Step 3: Cross multiply
    16,733x = 24,541 × 24,541
  4. Step 4: Simplify right side
    16,733x = 602,260,681
  5. Step 5: Solve for x
    x = 602,260,681/16,733
  6. Step 6: Final answer
    x = 35,992.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.