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Finding the Third Proportional to 5,934 and 9,709

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Solution

The third proportional to 5,934 and 9,709 is: 15,885.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934 : 9,709 = 9,709 : x
  2. Step 2: Convert to fraction form
    5,934/9,709 = 9,709/x
  3. Step 3: Cross multiply
    5,934x = 9,709 × 9,709
  4. Step 4: Simplify right side
    5,934x = 94,264,681
  5. Step 5: Solve for x
    x = 94,264,681/5,934
  6. Step 6: Final answer
    x = 15,885.52

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.