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Finding the Third Proportional to 48,552 and 74,989

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Solution

The third proportional to 48,552 and 74,989 is: 115,821.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,552 : 74,989 = 74,989 : x
  2. Step 2: Convert to fraction form
    48,552/74,989 = 74,989/x
  3. Step 3: Cross multiply
    48,552x = 74,989 × 74,989
  4. Step 4: Simplify right side
    48,552x = 5,623,350,121
  5. Step 5: Solve for x
    x = 5,623,350,121/48,552
  6. Step 6: Final answer
    x = 115,821.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.