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Finding the Third Proportional to 48,797 and 72,789

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Solution

The third proportional to 48,797 and 72,789 is: 108,577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,797 : 72,789 = 72,789 : x
  2. Step 2: Convert to fraction form
    48,797/72,789 = 72,789/x
  3. Step 3: Cross multiply
    48,797x = 72,789 × 72,789
  4. Step 4: Simplify right side
    48,797x = 5,298,238,521
  5. Step 5: Solve for x
    x = 5,298,238,521/48,797
  6. Step 6: Final answer
    x = 108,577.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.