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Finding the Third Proportional to 8,402 and 9,536

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Solution

The third proportional to 8,402 and 9,536 is: 10,823.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402 : 9,536 = 9,536 : x
  2. Step 2: Convert to fraction form
    8,402/9,536 = 9,536/x
  3. Step 3: Cross multiply
    8,402x = 9,536 × 9,536
  4. Step 4: Simplify right side
    8,402x = 90,935,296
  5. Step 5: Solve for x
    x = 90,935,296/8,402
  6. Step 6: Final answer
    x = 10,823.05

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.