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Finding the Third Proportional to 15,182 and 22,986

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Solution

The third proportional to 15,182 and 22,986 is: 34,801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,182 : 22,986 = 22,986 : x
  2. Step 2: Convert to fraction form
    15,182/22,986 = 22,986/x
  3. Step 3: Cross multiply
    15,182x = 22,986 × 22,986
  4. Step 4: Simplify right side
    15,182x = 528,356,196
  5. Step 5: Solve for x
    x = 528,356,196/15,182
  6. Step 6: Final answer
    x = 34,801.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.