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Finding the Third Proportional to 10,262 and 15,688

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Solution

The third proportional to 10,262 and 15,688 is: 23,982.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262 : 15,688 = 15,688 : x
  2. Step 2: Convert to fraction form
    10,262/15,688 = 15,688/x
  3. Step 3: Cross multiply
    10,262x = 15,688 × 15,688
  4. Step 4: Simplify right side
    10,262x = 246,113,344
  5. Step 5: Solve for x
    x = 246,113,344/10,262
  6. Step 6: Final answer
    x = 23,982.98

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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.