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Finding the Third Proportional to 7,470 and 15,412

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Solution

The third proportional to 7,470 and 15,412 is: 31,797.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470 : 15,412 = 15,412 : x
  2. Step 2: Convert to fraction form
    7,470/15,412 = 15,412/x
  3. Step 3: Cross multiply
    7,470x = 15,412 × 15,412
  4. Step 4: Simplify right side
    7,470x = 237,529,744
  5. Step 5: Solve for x
    x = 237,529,744/7,470
  6. Step 6: Final answer
    x = 31,797.82

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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.