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Finding the Third Proportional to 38,964 and 55,527

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Solution

The third proportional to 38,964 and 55,527 is: 79,130.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,964 : 55,527 = 55,527 : x
  2. Step 2: Convert to fraction form
    38,964/55,527 = 55,527/x
  3. Step 3: Cross multiply
    38,964x = 55,527 × 55,527
  4. Step 4: Simplify right side
    38,964x = 3,083,247,729
  5. Step 5: Solve for x
    x = 3,083,247,729/38,964
  6. Step 6: Final answer
    x = 79,130.68

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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.