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Finding the Third Proportional to 7,701 and 10,281

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Solution

The third proportional to 7,701 and 10,281 is: 13,725.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701 : 10,281 = 10,281 : x
  2. Step 2: Convert to fraction form
    7,701/10,281 = 10,281/x
  3. Step 3: Cross multiply
    7,701x = 10,281 × 10,281
  4. Step 4: Simplify right side
    7,701x = 105,698,961
  5. Step 5: Solve for x
    x = 105,698,961/7,701
  6. Step 6: Final answer
    x = 13,725.36

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.