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Finding the Third Proportional to 34,428 and 75,408

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Solution

The third proportional to 34,428 and 75,408 is: 165,166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,428 : 75,408 = 75,408 : x
  2. Step 2: Convert to fraction form
    34,428/75,408 = 75,408/x
  3. Step 3: Cross multiply
    34,428x = 75,408 × 75,408
  4. Step 4: Simplify right side
    34,428x = 5,686,366,464
  5. Step 5: Solve for x
    x = 5,686,366,464/34,428
  6. Step 6: Final answer
    x = 165,166.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.