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Finding the Third Proportional to 27,341.44 and 42,834.66

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Solution

The third proportional to 27,341.44 and 42,834.66 is: 67,107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,341.44 : 42,834.66 = 42,834.66 : x
  2. Step 2: Convert to fraction form
    27,341.44/42,834.66 = 42,834.66/x
  3. Step 3: Cross multiply
    27,341.44x = 42,834.66 × 42,834.66
  4. Step 4: Simplify right side
    27,341.44x = 1,834,807,776.06
  5. Step 5: Solve for x
    x = 1,834,807,776.06/27,341.44
  6. Step 6: Final answer
    x = 67,107.22

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.