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Finding the Third Proportional to 34,307 and 51,543

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Solution

The third proportional to 34,307 and 51,543 is: 77,438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,307 : 51,543 = 51,543 : x
  2. Step 2: Convert to fraction form
    34,307/51,543 = 51,543/x
  3. Step 3: Cross multiply
    34,307x = 51,543 × 51,543
  4. Step 4: Simplify right side
    34,307x = 2,656,680,849
  5. Step 5: Solve for x
    x = 2,656,680,849/34,307
  6. Step 6: Final answer
    x = 77,438.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.