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Finding the Third Proportional to 4,415.77 and 6,878.04

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Solution

The third proportional to 4,415.77 and 6,878.04 is: 10,713.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,415.77 : 6,878.04 = 6,878.04 : x
  2. Step 2: Convert to fraction form
    4,415.77/6,878.04 = 6,878.04/x
  3. Step 3: Cross multiply
    4,415.77x = 6,878.04 × 6,878.04
  4. Step 4: Simplify right side
    4,415.77x = 47,307,421.35
  5. Step 5: Solve for x
    x = 47,307,421.35/4,415.77
  6. Step 6: Final answer
    x = 10,713.30

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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.