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Finding the Third Proportional to 26,915 and 38,527

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Solution

The third proportional to 26,915 and 38,527 is: 55,148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,915 : 38,527 = 38,527 : x
  2. Step 2: Convert to fraction form
    26,915/38,527 = 38,527/x
  3. Step 3: Cross multiply
    26,915x = 38,527 × 38,527
  4. Step 4: Simplify right side
    26,915x = 1,484,329,729
  5. Step 5: Solve for x
    x = 1,484,329,729/26,915
  6. Step 6: Final answer
    x = 55,148.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.