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Finding the Third Proportional to 15,676.13 and 24,282.94

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Solution

The third proportional to 15,676.13 and 24,282.94 is: 37,615.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,676.13 : 24,282.94 = 24,282.94 : x
  2. Step 2: Convert to fraction form
    15,676.13/24,282.94 = 24,282.94/x
  3. Step 3: Cross multiply
    15,676.13x = 24,282.94 × 24,282.94
  4. Step 4: Simplify right side
    15,676.13x = 589,661,053.63
  5. Step 5: Solve for x
    x = 589,661,053.63/15,676.13
  6. Step 6: Final answer
    x = 37,615.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.