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Finding the Third Proportional to 35,250 and 51,468

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Solution

The third proportional to 35,250 and 51,468 is: 75,147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,250 : 51,468 = 51,468 : x
  2. Step 2: Convert to fraction form
    35,250/51,468 = 51,468/x
  3. Step 3: Cross multiply
    35,250x = 51,468 × 51,468
  4. Step 4: Simplify right side
    35,250x = 2,648,955,024
  5. Step 5: Solve for x
    x = 2,648,955,024/35,250
  6. Step 6: Final answer
    x = 75,147.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.