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Finding the Third Proportional to 27,786 and 40,707

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Solution

The third proportional to 27,786 and 40,707 is: 59,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,786 : 40,707 = 40,707 : x
  2. Step 2: Convert to fraction form
    27,786/40,707 = 40,707/x
  3. Step 3: Cross multiply
    27,786x = 40,707 × 40,707
  4. Step 4: Simplify right side
    27,786x = 1,657,059,849
  5. Step 5: Solve for x
    x = 1,657,059,849/27,786
  6. Step 6: Final answer
    x = 59,636.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.