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Finding the Third Proportional to 27,730.48 and 42,891.40

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Solution

The third proportional to 27,730.48 and 42,891.40 is: 66,341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,730.48 : 42,891.40 = 42,891.40 : x
  2. Step 2: Convert to fraction form
    27,730.48/42,891.40 = 42,891.40/x
  3. Step 3: Cross multiply
    27,730.48x = 42,891.40 × 42,891.40
  4. Step 4: Simplify right side
    27,730.48x = 1,839,672,059.92
  5. Step 5: Solve for x
    x = 1,839,672,059.92/27,730.48
  6. Step 6: Final answer
    x = 66,341.16

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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.