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Finding the Third Proportional to 4,118.66 and 6,548.66

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Solution

The third proportional to 4,118.66 and 6,548.66 is: 10,412.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,118.66 : 6,548.66 = 6,548.66 : x
  2. Step 2: Convert to fraction form
    4,118.66/6,548.66 = 6,548.66/x
  3. Step 3: Cross multiply
    4,118.66x = 6,548.66 × 6,548.66
  4. Step 4: Simplify right side
    4,118.66x = 42,884,949.84
  5. Step 5: Solve for x
    x = 42,884,949.84/4,118.66
  6. Step 6: Final answer
    x = 10,412.35

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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.