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Finding the Third Proportional to 39,507.75 and 84,569.06

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Solution

The third proportional to 39,507.75 and 84,569.06 is: 181,025.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,507.75 : 84,569.06 = 84,569.06 : x
  2. Step 2: Convert to fraction form
    39,507.75/84,569.06 = 84,569.06/x
  3. Step 3: Cross multiply
    39,507.75x = 84,569.06 × 84,569.06
  4. Step 4: Simplify right side
    39,507.75x = 7,151,926,332.13
  5. Step 5: Solve for x
    x = 7,151,926,332.13/39,507.75
  6. Step 6: Final answer
    x = 181,025.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.