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Finding the Third Proportional to 35,301.23 and 77,599.69

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Solution

The third proportional to 35,301.23 and 77,599.69 is: 170,580.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,301.23 : 77,599.69 = 77,599.69 : x
  2. Step 2: Convert to fraction form
    35,301.23/77,599.69 = 77,599.69/x
  3. Step 3: Cross multiply
    35,301.23x = 77,599.69 × 77,599.69
  4. Step 4: Simplify right side
    35,301.23x = 6,021,711,500.10
  5. Step 5: Solve for x
    x = 6,021,711,500.10/35,301.23
  6. Step 6: Final answer
    x = 170,580.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.