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Finding the Third Proportional to 34,895 and 75,579

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Solution

The third proportional to 34,895 and 75,579 is: 163,696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,895 : 75,579 = 75,579 : x
  2. Step 2: Convert to fraction form
    34,895/75,579 = 75,579/x
  3. Step 3: Cross multiply
    34,895x = 75,579 × 75,579
  4. Step 4: Simplify right side
    34,895x = 5,712,185,241
  5. Step 5: Solve for x
    x = 5,712,185,241/34,895
  6. Step 6: Final answer
    x = 163,696.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.