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Finding the Third Proportional to 11,953.13 and 26,002.13

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Solution

The third proportional to 11,953.13 and 26,002.13 is: 56,563.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.13 : 26,002.13 = 26,002.13 : x
  2. Step 2: Convert to fraction form
    11,953.13/26,002.13 = 26,002.13/x
  3. Step 3: Cross multiply
    11,953.13x = 26,002.13 × 26,002.13
  4. Step 4: Simplify right side
    11,953.13x = 676,110,504.52
  5. Step 5: Solve for x
    x = 676,110,504.52/11,953.13
  6. Step 6: Final answer
    x = 56,563.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.