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Finding the Third Proportional to 12,298.92 and 26,348.20

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Solution

The third proportional to 12,298.92 and 26,348.20 is: 56,446.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.92 : 26,348.20 = 26,348.20 : x
  2. Step 2: Convert to fraction form
    12,298.92/26,348.20 = 26,348.20/x
  3. Step 3: Cross multiply
    12,298.92x = 26,348.20 × 26,348.20
  4. Step 4: Simplify right side
    12,298.92x = 694,227,807.92
  5. Step 5: Solve for x
    x = 694,227,807.92/12,298.92
  6. Step 6: Final answer
    x = 56,446.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.