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Finding the Third Proportional to 39,412.69 and 56,658.66

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Solution

The third proportional to 39,412.69 and 56,658.66 is: 81,451.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,412.69 : 56,658.66 = 56,658.66 : x
  2. Step 2: Convert to fraction form
    39,412.69/56,658.66 = 56,658.66/x
  3. Step 3: Cross multiply
    39,412.69x = 56,658.66 × 56,658.66
  4. Step 4: Simplify right side
    39,412.69x = 3,210,203,328.06
  5. Step 5: Solve for x
    x = 3,210,203,328.06/39,412.69
  6. Step 6: Final answer
    x = 81,451.01

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.