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Finding the Third Proportional to 6,561 and 10,434.66

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Solution

The third proportional to 6,561 and 10,434.66 is: 16,595.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561 : 10,434.66 = 10,434.66 : x
  2. Step 2: Convert to fraction form
    6,561/10,434.66 = 10,434.66/x
  3. Step 3: Cross multiply
    6,561x = 10,434.66 × 10,434.66
  4. Step 4: Simplify right side
    6,561x = 108,882,051.06
  5. Step 5: Solve for x
    x = 108,882,051.06/6,561
  6. Step 6: Final answer
    x = 16,595.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.