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Finding the Third Proportional to 34,973 and 75,475

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Solution

The third proportional to 34,973 and 75,475 is: 162,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,973 : 75,475 = 75,475 : x
  2. Step 2: Convert to fraction form
    34,973/75,475 = 75,475/x
  3. Step 3: Cross multiply
    34,973x = 75,475 × 75,475
  4. Step 4: Simplify right side
    34,973x = 5,696,475,625
  5. Step 5: Solve for x
    x = 5,696,475,625/34,973
  6. Step 6: Final answer
    x = 162,882.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.