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Finding the Third Proportional to 44,960.50 and 96,482

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Solution

The third proportional to 44,960.50 and 96,482 is: 207,043.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,960.50 : 96,482 = 96,482 : x
  2. Step 2: Convert to fraction form
    44,960.50/96,482 = 96,482/x
  3. Step 3: Cross multiply
    44,960.50x = 96,482 × 96,482
  4. Step 4: Simplify right side
    44,960.50x = 9,308,776,324
  5. Step 5: Solve for x
    x = 9,308,776,324/44,960.50
  6. Step 6: Final answer
    x = 207,043.43

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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.