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Finding the Third Proportional to 52,670 and 74,527

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Solution

The third proportional to 52,670 and 74,527 is: 105,454.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,670 : 74,527 = 74,527 : x
  2. Step 2: Convert to fraction form
    52,670/74,527 = 74,527/x
  3. Step 3: Cross multiply
    52,670x = 74,527 × 74,527
  4. Step 4: Simplify right side
    52,670x = 5,554,273,729
  5. Step 5: Solve for x
    x = 5,554,273,729/52,670
  6. Step 6: Final answer
    x = 105,454.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.