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Finding the Third Proportional to 34,281 and 51,417

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Solution

The third proportional to 34,281 and 51,417 is: 77,118.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,281 : 51,417 = 51,417 : x
  2. Step 2: Convert to fraction form
    34,281/51,417 = 51,417/x
  3. Step 3: Cross multiply
    34,281x = 51,417 × 51,417
  4. Step 4: Simplify right side
    34,281x = 2,643,707,889
  5. Step 5: Solve for x
    x = 2,643,707,889/34,281
  6. Step 6: Final answer
    x = 77,118.75

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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.