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Finding the Third Proportional to 48,507 and 72,941

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Solution

The third proportional to 48,507 and 72,941 is: 109,682.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,507 : 72,941 = 72,941 : x
  2. Step 2: Convert to fraction form
    48,507/72,941 = 72,941/x
  3. Step 3: Cross multiply
    48,507x = 72,941 × 72,941
  4. Step 4: Simplify right side
    48,507x = 5,320,389,481
  5. Step 5: Solve for x
    x = 5,320,389,481/48,507
  6. Step 6: Final answer
    x = 109,682.92

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