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Finding the Third Proportional to 48,294 and 74,715.75

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Solution

The third proportional to 48,294 and 74,715.75 is: 115,592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,294 : 74,715.75 = 74,715.75 : x
  2. Step 2: Convert to fraction form
    48,294/74,715.75 = 74,715.75/x
  3. Step 3: Cross multiply
    48,294x = 74,715.75 × 74,715.75
  4. Step 4: Simplify right side
    48,294x = 5,582,443,298.06
  5. Step 5: Solve for x
    x = 5,582,443,298.06/48,294
  6. Step 6: Final answer
    x = 115,592.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.