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Finding the Third Proportional to 26,740 and 42,058

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Solution

The third proportional to 26,740 and 42,058 is: 66,150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,740 : 42,058 = 42,058 : x
  2. Step 2: Convert to fraction form
    26,740/42,058 = 42,058/x
  3. Step 3: Cross multiply
    26,740x = 42,058 × 42,058
  4. Step 4: Simplify right side
    26,740x = 1,768,875,364
  5. Step 5: Solve for x
    x = 1,768,875,364/26,740
  6. Step 6: Final answer
    x = 66,150.91

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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.