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Finding the Third Proportional to 48,483 and 74,496

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Solution

The third proportional to 48,483 and 74,496 is: 114,465.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,483 : 74,496 = 74,496 : x
  2. Step 2: Convert to fraction form
    48,483/74,496 = 74,496/x
  3. Step 3: Cross multiply
    48,483x = 74,496 × 74,496
  4. Step 4: Simplify right side
    48,483x = 5,549,654,016
  5. Step 5: Solve for x
    x = 5,549,654,016/48,483
  6. Step 6: Final answer
    x = 114,465.98

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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.