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Finding the Third Proportional to 48,407 and 72,607

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Solution

The third proportional to 48,407 and 72,607 is: 108,905.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,407 : 72,607 = 72,607 : x
  2. Step 2: Convert to fraction form
    48,407/72,607 = 72,607/x
  3. Step 3: Cross multiply
    48,407x = 72,607 × 72,607
  4. Step 4: Simplify right side
    48,407x = 5,271,776,449
  5. Step 5: Solve for x
    x = 5,271,776,449/48,407
  6. Step 6: Final answer
    x = 108,905.25

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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.