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Finding the Third Proportional to 48,714 and 66,015

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Solution

The third proportional to 48,714 and 66,015 is: 89,460.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,714 : 66,015 = 66,015 : x
  2. Step 2: Convert to fraction form
    48,714/66,015 = 66,015/x
  3. Step 3: Cross multiply
    48,714x = 66,015 × 66,015
  4. Step 4: Simplify right side
    48,714x = 4,357,980,225
  5. Step 5: Solve for x
    x = 4,357,980,225/48,714
  6. Step 6: Final answer
    x = 89,460.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.