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Finding the Third Proportional to 26,973.56 and 40,460.81

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Solution

The third proportional to 26,973.56 and 40,460.81 is: 60,691.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,973.56 : 40,460.81 = 40,460.81 : x
  2. Step 2: Convert to fraction form
    26,973.56/40,460.81 = 40,460.81/x
  3. Step 3: Cross multiply
    26,973.56x = 40,460.81 × 40,460.81
  4. Step 4: Simplify right side
    26,973.56x = 1,637,077,348.16
  5. Step 5: Solve for x
    x = 1,637,077,348.16/26,973.56
  6. Step 6: Final answer
    x = 60,691.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.