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Finding the Third Proportional to 12,142 and 16,541

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Solution

The third proportional to 12,142 and 16,541 is: 22,533.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142 : 16,541 = 16,541 : x
  2. Step 2: Convert to fraction form
    12,142/16,541 = 16,541/x
  3. Step 3: Cross multiply
    12,142x = 16,541 × 16,541
  4. Step 4: Simplify right side
    12,142x = 273,604,681
  5. Step 5: Solve for x
    x = 273,604,681/12,142
  6. Step 6: Final answer
    x = 22,533.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.