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Finding the Third Proportional to 44,417.50 and 95,423

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Solution

The third proportional to 44,417.50 and 95,423 is: 204,999.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,417.50 : 95,423 = 95,423 : x
  2. Step 2: Convert to fraction form
    44,417.50/95,423 = 95,423/x
  3. Step 3: Cross multiply
    44,417.50x = 95,423 × 95,423
  4. Step 4: Simplify right side
    44,417.50x = 9,105,548,929
  5. Step 5: Solve for x
    x = 9,105,548,929/44,417.50
  6. Step 6: Final answer
    x = 204,999.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.