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Finding the Third Proportional to 23,988.66 and 51,257.81

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Solution

The third proportional to 23,988.66 and 51,257.81 is: 109,525.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,988.66 : 51,257.81 = 51,257.81 : x
  2. Step 2: Convert to fraction form
    23,988.66/51,257.81 = 51,257.81/x
  3. Step 3: Cross multiply
    23,988.66x = 51,257.81 × 51,257.81
  4. Step 4: Simplify right side
    23,988.66x = 2,627,363,342.29
  5. Step 5: Solve for x
    x = 2,627,363,342.29/23,988.66
  6. Step 6: Final answer
    x = 109,525.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.