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Finding the Third Proportional to 10,235 and 15,016

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Solution

The third proportional to 10,235 and 15,016 is: 22,030.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235 : 15,016 = 15,016 : x
  2. Step 2: Convert to fraction form
    10,235/15,016 = 15,016/x
  3. Step 3: Cross multiply
    10,235x = 15,016 × 15,016
  4. Step 4: Simplify right side
    10,235x = 225,480,256
  5. Step 5: Solve for x
    x = 225,480,256/10,235
  6. Step 6: Final answer
    x = 22,030.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.