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Finding the Third Proportional to 34,895 and 77,530

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Solution

The third proportional to 34,895 and 77,530 is: 172,256.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,895 : 77,530 = 77,530 : x
  2. Step 2: Convert to fraction form
    34,895/77,530 = 77,530/x
  3. Step 3: Cross multiply
    34,895x = 77,530 × 77,530
  4. Step 4: Simplify right side
    34,895x = 6,010,900,900
  5. Step 5: Solve for x
    x = 6,010,900,900/34,895
  6. Step 6: Final answer
    x = 172,256.80

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.