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Finding the Third Proportional to 10,491.19 and 22,546.69

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Solution

The third proportional to 10,491.19 and 22,546.69 is: 48,455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.19 : 22,546.69 = 22,546.69 : x
  2. Step 2: Convert to fraction form
    10,491.19/22,546.69 = 22,546.69/x
  3. Step 3: Cross multiply
    10,491.19x = 22,546.69 × 22,546.69
  4. Step 4: Simplify right side
    10,491.19x = 508,353,117.22
  5. Step 5: Solve for x
    x = 508,353,117.22/10,491.19
  6. Step 6: Final answer
    x = 48,455.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.