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Finding the Third Proportional to 22,983.19 and 31,191.75

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Solution

The third proportional to 22,983.19 and 31,191.75 is: 42,332.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,983.19 : 31,191.75 = 31,191.75 : x
  2. Step 2: Convert to fraction form
    22,983.19/31,191.75 = 31,191.75/x
  3. Step 3: Cross multiply
    22,983.19x = 31,191.75 × 31,191.75
  4. Step 4: Simplify right side
    22,983.19x = 972,925,268.06
  5. Step 5: Solve for x
    x = 972,925,268.06/22,983.19
  6. Step 6: Final answer
    x = 42,332.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.