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Finding the Third Proportional to 20,341.69 and 31,433.91

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Solution

The third proportional to 20,341.69 and 31,433.91 is: 48,574.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,341.69 : 31,433.91 = 31,433.91 : x
  2. Step 2: Convert to fraction form
    20,341.69/31,433.91 = 31,433.91/x
  3. Step 3: Cross multiply
    20,341.69x = 31,433.91 × 31,433.91
  4. Step 4: Simplify right side
    20,341.69x = 988,090,462.13
  5. Step 5: Solve for x
    x = 988,090,462.13/20,341.69
  6. Step 6: Final answer
    x = 48,574.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.