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Finding the Third Proportional to 26,509.78 and 33,606.14

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Solution

The third proportional to 26,509.78 and 33,606.14 is: 42,602.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,509.78 : 33,606.14 = 33,606.14 : x
  2. Step 2: Convert to fraction form
    26,509.78/33,606.14 = 33,606.14/x
  3. Step 3: Cross multiply
    26,509.78x = 33,606.14 × 33,606.14
  4. Step 4: Simplify right side
    26,509.78x = 1,129,372,687.71
  5. Step 5: Solve for x
    x = 1,129,372,687.71/26,509.78
  6. Step 6: Final answer
    x = 42,602.11

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.