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Finding the Third Proportional to 44,024 and 96,400

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Solution

The third proportional to 44,024 and 96,400 is: 211,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,024 : 96,400 = 96,400 : x
  2. Step 2: Convert to fraction form
    44,024/96,400 = 96,400/x
  3. Step 3: Cross multiply
    44,024x = 96,400 × 96,400
  4. Step 4: Simplify right side
    44,024x = 9,292,960,000
  5. Step 5: Solve for x
    x = 9,292,960,000/44,024
  6. Step 6: Final answer
    x = 211,088.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.