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Finding the Third Proportional to 34,207 and 51,411

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Solution

The third proportional to 34,207 and 51,411 is: 77,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,207 : 51,411 = 51,411 : x
  2. Step 2: Convert to fraction form
    34,207/51,411 = 51,411/x
  3. Step 3: Cross multiply
    34,207x = 51,411 × 51,411
  4. Step 4: Simplify right side
    34,207x = 2,643,090,921
  5. Step 5: Solve for x
    x = 2,643,090,921/34,207
  6. Step 6: Final answer
    x = 77,267.55

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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.