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Finding the Third Proportional to 24,188.16 and 51,315.19

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Solution

The third proportional to 24,188.16 and 51,315.19 is: 108,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,188.16 : 51,315.19 = 51,315.19 : x
  2. Step 2: Convert to fraction form
    24,188.16/51,315.19 = 51,315.19/x
  3. Step 3: Cross multiply
    24,188.16x = 51,315.19 × 51,315.19
  4. Step 4: Simplify right side
    24,188.16x = 2,633,248,468.16
  5. Step 5: Solve for x
    x = 2,633,248,468.16/24,188.16
  6. Step 6: Final answer
    x = 108,865.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.