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Finding the Third Proportional to 4,444.88 and 6,913.13

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Solution

The third proportional to 4,444.88 and 6,913.13 is: 10,752.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,444.88 : 6,913.13 = 6,913.13 : x
  2. Step 2: Convert to fraction form
    4,444.88/6,913.13 = 6,913.13/x
  3. Step 3: Cross multiply
    4,444.88x = 6,913.13 × 6,913.13
  4. Step 4: Simplify right side
    4,444.88x = 47,791,297.27
  5. Step 5: Solve for x
    x = 47,791,297.27/4,444.88
  6. Step 6: Final answer
    x = 10,752.00

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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.