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Finding the Third Proportional to 44,392.50 and 96,435

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Solution

The third proportional to 44,392.50 and 96,435 is: 209,488.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,392.50 : 96,435 = 96,435 : x
  2. Step 2: Convert to fraction form
    44,392.50/96,435 = 96,435/x
  3. Step 3: Cross multiply
    44,392.50x = 96,435 × 96,435
  4. Step 4: Simplify right side
    44,392.50x = 9,299,709,225
  5. Step 5: Solve for x
    x = 9,299,709,225/44,392.50
  6. Step 6: Final answer
    x = 209,488.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.