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Finding the Third Proportional to 44,486 and 97,724

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Solution

The third proportional to 44,486 and 97,724 is: 214,673.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,486 : 97,724 = 97,724 : x
  2. Step 2: Convert to fraction form
    44,486/97,724 = 97,724/x
  3. Step 3: Cross multiply
    44,486x = 97,724 × 97,724
  4. Step 4: Simplify right side
    44,486x = 9,549,980,176
  5. Step 5: Solve for x
    x = 9,549,980,176/44,486
  6. Step 6: Final answer
    x = 214,673.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.