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Finding the Third Proportional to 23,225.06 and 36,909.84

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Solution

The third proportional to 23,225.06 and 36,909.84 is: 58,658.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,225.06 : 36,909.84 = 36,909.84 : x
  2. Step 2: Convert to fraction form
    23,225.06/36,909.84 = 36,909.84/x
  3. Step 3: Cross multiply
    23,225.06x = 36,909.84 × 36,909.84
  4. Step 4: Simplify right side
    23,225.06x = 1,362,336,565.65
  5. Step 5: Solve for x
    x = 1,362,336,565.65/23,225.06
  6. Step 6: Final answer
    x = 58,658.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.