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Finding the Third Proportional to 9,714 and 15,403

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Solution

The third proportional to 9,714 and 15,403 is: 24,423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714 : 15,403 = 15,403 : x
  2. Step 2: Convert to fraction form
    9,714/15,403 = 15,403/x
  3. Step 3: Cross multiply
    9,714x = 15,403 × 15,403
  4. Step 4: Simplify right side
    9,714x = 237,252,409
  5. Step 5: Solve for x
    x = 237,252,409/9,714
  6. Step 6: Final answer
    x = 24,423.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.