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Finding the Third Proportional to 10,281 and 11,361

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Solution

The third proportional to 10,281 and 11,361 is: 12,554.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281 : 11,361 = 11,361 : x
  2. Step 2: Convert to fraction form
    10,281/11,361 = 11,361/x
  3. Step 3: Cross multiply
    10,281x = 11,361 × 11,361
  4. Step 4: Simplify right side
    10,281x = 129,072,321
  5. Step 5: Solve for x
    x = 129,072,321/10,281
  6. Step 6: Final answer
    x = 12,554.45

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.