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Finding the Third Proportional to 18,048 and 26,527

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Solution

The third proportional to 18,048 and 26,527 is: 38,989.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,048 : 26,527 = 26,527 : x
  2. Step 2: Convert to fraction form
    18,048/26,527 = 26,527/x
  3. Step 3: Cross multiply
    18,048x = 26,527 × 26,527
  4. Step 4: Simplify right side
    18,048x = 703,681,729
  5. Step 5: Solve for x
    x = 703,681,729/18,048
  6. Step 6: Final answer
    x = 38,989.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.