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Finding the Third Proportional to 24,422.50 and 45,382

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Solution

The third proportional to 24,422.50 and 45,382 is: 84,329.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,422.50 : 45,382 = 45,382 : x
  2. Step 2: Convert to fraction form
    24,422.50/45,382 = 45,382/x
  3. Step 3: Cross multiply
    24,422.50x = 45,382 × 45,382
  4. Step 4: Simplify right side
    24,422.50x = 2,059,525,924
  5. Step 5: Solve for x
    x = 2,059,525,924/24,422.50
  6. Step 6: Final answer
    x = 84,329.04

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.