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Finding the Third Proportional to 11,106.57 and 26,219.08

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Solution

The third proportional to 11,106.57 and 26,219.08 is: 61,894.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,106.57 : 26,219.08 = 26,219.08 : x
  2. Step 2: Convert to fraction form
    11,106.57/26,219.08 = 26,219.08/x
  3. Step 3: Cross multiply
    11,106.57x = 26,219.08 × 26,219.08
  4. Step 4: Simplify right side
    11,106.57x = 687,440,313.77
  5. Step 5: Solve for x
    x = 687,440,313.77/11,106.57
  6. Step 6: Final answer
    x = 61,894.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.