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Finding the Third Proportional to 24,188.63 and 50,209.88

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Solution

The third proportional to 24,188.63 and 50,209.88 is: 104,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,188.63 : 50,209.88 = 50,209.88 : x
  2. Step 2: Convert to fraction form
    24,188.63/50,209.88 = 50,209.88/x
  3. Step 3: Cross multiply
    24,188.63x = 50,209.88 × 50,209.88
  4. Step 4: Simplify right side
    24,188.63x = 2,521,031,547.52
  5. Step 5: Solve for x
    x = 2,521,031,547.52/24,188.63
  6. Step 6: Final answer
    x = 104,223.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.