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Finding the Third Proportional to 22,852.13 and 36,141.19

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Solution

The third proportional to 22,852.13 and 36,141.19 is: 57,158.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,852.13 : 36,141.19 = 36,141.19 : x
  2. Step 2: Convert to fraction form
    22,852.13/36,141.19 = 36,141.19/x
  3. Step 3: Cross multiply
    22,852.13x = 36,141.19 × 36,141.19
  4. Step 4: Simplify right side
    22,852.13x = 1,306,185,433.91
  5. Step 5: Solve for x
    x = 1,306,185,433.91/22,852.13
  6. Step 6: Final answer
    x = 57,158.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.