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Finding the Third Proportional to 10,186 and 15,988

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Solution

The third proportional to 10,186 and 15,988 is: 25,094.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186 : 15,988 = 15,988 : x
  2. Step 2: Convert to fraction form
    10,186/15,988 = 15,988/x
  3. Step 3: Cross multiply
    10,186x = 15,988 × 15,988
  4. Step 4: Simplify right side
    10,186x = 255,616,144
  5. Step 5: Solve for x
    x = 255,616,144/10,186
  6. Step 6: Final answer
    x = 25,094.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.