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Finding the Third Proportional to 14,347 and 31,594

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Solution

The third proportional to 14,347 and 31,594 is: 69,574.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,347 : 31,594 = 31,594 : x
  2. Step 2: Convert to fraction form
    14,347/31,594 = 31,594/x
  3. Step 3: Cross multiply
    14,347x = 31,594 × 31,594
  4. Step 4: Simplify right side
    14,347x = 998,180,836
  5. Step 5: Solve for x
    x = 998,180,836/14,347
  6. Step 6: Final answer
    x = 69,574.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.