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Finding the Third Proportional to 15,760 and 24,403

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Solution

The third proportional to 15,760 and 24,403 is: 37,785.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,760 : 24,403 = 24,403 : x
  2. Step 2: Convert to fraction form
    15,760/24,403 = 24,403/x
  3. Step 3: Cross multiply
    15,760x = 24,403 × 24,403
  4. Step 4: Simplify right side
    15,760x = 595,506,409
  5. Step 5: Solve for x
    x = 595,506,409/15,760
  6. Step 6: Final answer
    x = 37,785.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.