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Finding the Third Proportional to 15,319.13 and 21,677.63

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Solution

The third proportional to 15,319.13 and 21,677.63 is: 30,675.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,319.13 : 21,677.63 = 21,677.63 : x
  2. Step 2: Convert to fraction form
    15,319.13/21,677.63 = 21,677.63/x
  3. Step 3: Cross multiply
    15,319.13x = 21,677.63 × 21,677.63
  4. Step 4: Simplify right side
    15,319.13x = 469,919,425.64
  5. Step 5: Solve for x
    x = 469,919,425.64/15,319.13
  6. Step 6: Final answer
    x = 30,675.34

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.