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Finding the Third Proportional to 35,685.56 and 77,727.94

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Solution

The third proportional to 35,685.56 and 77,727.94 is: 169,301.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,685.56 : 77,727.94 = 77,727.94 : x
  2. Step 2: Convert to fraction form
    35,685.56/77,727.94 = 77,727.94/x
  3. Step 3: Cross multiply
    35,685.56x = 77,727.94 × 77,727.94
  4. Step 4: Simplify right side
    35,685.56x = 6,041,632,268.00
  5. Step 5: Solve for x
    x = 6,041,632,268.00/35,685.56
  6. Step 6: Final answer
    x = 169,301.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.