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Finding the Third Proportional to 48,598 and 74,966

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Solution

The third proportional to 48,598 and 74,966 is: 115,640.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,598 : 74,966 = 74,966 : x
  2. Step 2: Convert to fraction form
    48,598/74,966 = 74,966/x
  3. Step 3: Cross multiply
    48,598x = 74,966 × 74,966
  4. Step 4: Simplify right side
    48,598x = 5,619,901,156
  5. Step 5: Solve for x
    x = 5,619,901,156/48,598
  6. Step 6: Final answer
    x = 115,640.59

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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.