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Finding the Third Proportional to 15,986 and 24,535

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Solution

The third proportional to 15,986 and 24,535 is: 37,655.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,986 : 24,535 = 24,535 : x
  2. Step 2: Convert to fraction form
    15,986/24,535 = 24,535/x
  3. Step 3: Cross multiply
    15,986x = 24,535 × 24,535
  4. Step 4: Simplify right side
    15,986x = 601,966,225
  5. Step 5: Solve for x
    x = 601,966,225/15,986
  6. Step 6: Final answer
    x = 37,655.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.