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Finding the Third Proportional to 15,677 and 34,270

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Solution

The third proportional to 15,677 and 34,270 is: 74,914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,677 : 34,270 = 34,270 : x
  2. Step 2: Convert to fraction form
    15,677/34,270 = 34,270/x
  3. Step 3: Cross multiply
    15,677x = 34,270 × 34,270
  4. Step 4: Simplify right side
    15,677x = 1,174,432,900
  5. Step 5: Solve for x
    x = 1,174,432,900/15,677
  6. Step 6: Final answer
    x = 74,914.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.