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Finding the Third Proportional to 52,726 and 57,574

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Solution

The third proportional to 52,726 and 57,574 is: 62,867.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,726 : 57,574 = 57,574 : x
  2. Step 2: Convert to fraction form
    52,726/57,574 = 57,574/x
  3. Step 3: Cross multiply
    52,726x = 57,574 × 57,574
  4. Step 4: Simplify right side
    52,726x = 3,314,765,476
  5. Step 5: Solve for x
    x = 3,314,765,476/52,726
  6. Step 6: Final answer
    x = 62,867.76

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.