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Finding the Third Proportional to 7,478 and 15,442

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Solution

The third proportional to 7,478 and 15,442 is: 31,887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478 : 15,442 = 15,442 : x
  2. Step 2: Convert to fraction form
    7,478/15,442 = 15,442/x
  3. Step 3: Cross multiply
    7,478x = 15,442 × 15,442
  4. Step 4: Simplify right side
    7,478x = 238,455,364
  5. Step 5: Solve for x
    x = 238,455,364/7,478
  6. Step 6: Final answer
    x = 31,887.59

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.