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Finding the Third Proportional to 8,695.13 and 13,496.63

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Solution

The third proportional to 8,695.13 and 13,496.63 is: 20,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,695.13 : 13,496.63 = 13,496.63 : x
  2. Step 2: Convert to fraction form
    8,695.13/13,496.63 = 13,496.63/x
  3. Step 3: Cross multiply
    8,695.13x = 13,496.63 × 13,496.63
  4. Step 4: Simplify right side
    8,695.13x = 182,158,886.39
  5. Step 5: Solve for x
    x = 182,158,886.39/8,695.13
  6. Step 6: Final answer
    x = 20,949.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.