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Finding the Third Proportional to 27,197 and 42,709

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Solution

The third proportional to 27,197 and 42,709 is: 67,068.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,197 : 42,709 = 42,709 : x
  2. Step 2: Convert to fraction form
    27,197/42,709 = 42,709/x
  3. Step 3: Cross multiply
    27,197x = 42,709 × 42,709
  4. Step 4: Simplify right side
    27,197x = 1,824,058,681
  5. Step 5: Solve for x
    x = 1,824,058,681/27,197
  6. Step 6: Final answer
    x = 67,068.38

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Why These Related Problems?

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