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Finding the Third Proportional to 7,542 and 16,047

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Solution

The third proportional to 7,542 and 16,047 is: 34,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542 : 16,047 = 16,047 : x
  2. Step 2: Convert to fraction form
    7,542/16,047 = 16,047/x
  3. Step 3: Cross multiply
    7,542x = 16,047 × 16,047
  4. Step 4: Simplify right side
    7,542x = 257,506,209
  5. Step 5: Solve for x
    x = 257,506,209/7,542
  6. Step 6: Final answer
    x = 34,142.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.