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Finding the Third Proportional to 45,241 and 66,544

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Solution

The third proportional to 45,241 and 66,544 is: 97,878.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,241 : 66,544 = 66,544 : x
  2. Step 2: Convert to fraction form
    45,241/66,544 = 66,544/x
  3. Step 3: Cross multiply
    45,241x = 66,544 × 66,544
  4. Step 4: Simplify right side
    45,241x = 4,428,103,936
  5. Step 5: Solve for x
    x = 4,428,103,936/45,241
  6. Step 6: Final answer
    x = 97,878.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.