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Finding the Third Proportional to 13,461.19 and 21,034.69

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Solution

The third proportional to 13,461.19 and 21,034.69 is: 32,869.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.19 : 21,034.69 = 21,034.69 : x
  2. Step 2: Convert to fraction form
    13,461.19/21,034.69 = 21,034.69/x
  3. Step 3: Cross multiply
    13,461.19x = 21,034.69 × 21,034.69
  4. Step 4: Simplify right side
    13,461.19x = 442,458,078.22
  5. Step 5: Solve for x
    x = 442,458,078.22/13,461.19
  6. Step 6: Final answer
    x = 32,869.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.