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Finding the Third Proportional to 5,840 and 9,594

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Solution

The third proportional to 5,840 and 9,594 is: 15,761.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840 : 9,594 = 9,594 : x
  2. Step 2: Convert to fraction form
    5,840/9,594 = 9,594/x
  3. Step 3: Cross multiply
    5,840x = 9,594 × 9,594
  4. Step 4: Simplify right side
    5,840x = 92,044,836
  5. Step 5: Solve for x
    x = 92,044,836/5,840
  6. Step 6: Final answer
    x = 15,761.10

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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.