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Finding the Third Proportional to 48,534 and 72,729

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Solution

The third proportional to 48,534 and 72,729 is: 108,985.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,534 : 72,729 = 72,729 : x
  2. Step 2: Convert to fraction form
    48,534/72,729 = 72,729/x
  3. Step 3: Cross multiply
    48,534x = 72,729 × 72,729
  4. Step 4: Simplify right side
    48,534x = 5,289,507,441
  5. Step 5: Solve for x
    x = 5,289,507,441/48,534
  6. Step 6: Final answer
    x = 108,985.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.