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Finding the Third Proportional to 34,924 and 75,428

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Solution

The third proportional to 34,924 and 75,428 is: 162,907.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,924 : 75,428 = 75,428 : x
  2. Step 2: Convert to fraction form
    34,924/75,428 = 75,428/x
  3. Step 3: Cross multiply
    34,924x = 75,428 × 75,428
  4. Step 4: Simplify right side
    34,924x = 5,689,383,184
  5. Step 5: Solve for x
    x = 5,689,383,184/34,924
  6. Step 6: Final answer
    x = 162,907.55

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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.