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Finding the Third Proportional to 52,758 and 70,475

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Solution

The third proportional to 52,758 and 70,475 is: 94,141.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,758 : 70,475 = 70,475 : x
  2. Step 2: Convert to fraction form
    52,758/70,475 = 70,475/x
  3. Step 3: Cross multiply
    52,758x = 70,475 × 70,475
  4. Step 4: Simplify right side
    52,758x = 4,966,725,625
  5. Step 5: Solve for x
    x = 4,966,725,625/52,758
  6. Step 6: Final answer
    x = 94,141.66

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.