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Finding the Third Proportional to 22,287.50 and 47,437

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Solution

The third proportional to 22,287.50 and 47,437 is: 100,965.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,287.50 : 47,437 = 47,437 : x
  2. Step 2: Convert to fraction form
    22,287.50/47,437 = 47,437/x
  3. Step 3: Cross multiply
    22,287.50x = 47,437 × 47,437
  4. Step 4: Simplify right side
    22,287.50x = 2,250,268,969
  5. Step 5: Solve for x
    x = 2,250,268,969/22,287.50
  6. Step 6: Final answer
    x = 100,965.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.