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Finding the Third Proportional to 26,827.50 and 42,471

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Solution

The third proportional to 26,827.50 and 42,471 is: 67,236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,827.50 : 42,471 = 42,471 : x
  2. Step 2: Convert to fraction form
    26,827.50/42,471 = 42,471/x
  3. Step 3: Cross multiply
    26,827.50x = 42,471 × 42,471
  4. Step 4: Simplify right side
    26,827.50x = 1,803,785,841
  5. Step 5: Solve for x
    x = 1,803,785,841/26,827.50
  6. Step 6: Final answer
    x = 67,236.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.