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Finding the Third Proportional to 12,417.05 and 26,905.92

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Solution

The third proportional to 12,417.05 and 26,905.92 is: 58,301.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.05 : 26,905.92 = 26,905.92 : x
  2. Step 2: Convert to fraction form
    12,417.05/26,905.92 = 26,905.92/x
  3. Step 3: Cross multiply
    12,417.05x = 26,905.92 × 26,905.92
  4. Step 4: Simplify right side
    12,417.05x = 723,928,631.94
  5. Step 5: Solve for x
    x = 723,928,631.94/12,417.05
  6. Step 6: Final answer
    x = 58,301.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.