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Finding the Third Proportional to 35,047.69 and 76,010.91

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Solution

The third proportional to 35,047.69 and 76,010.91 is: 164,851.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,047.69 : 76,010.91 = 76,010.91 : x
  2. Step 2: Convert to fraction form
    35,047.69/76,010.91 = 76,010.91/x
  3. Step 3: Cross multiply
    35,047.69x = 76,010.91 × 76,010.91
  4. Step 4: Simplify right side
    35,047.69x = 5,777,657,868.95
  5. Step 5: Solve for x
    x = 5,777,657,868.95/35,047.69
  6. Step 6: Final answer
    x = 164,851.33

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