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Finding the Third Proportional to 4,405 and 4,713.75

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Solution

The third proportional to 4,405 and 4,713.75 is: 5,044.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,405 : 4,713.75 = 4,713.75 : x
  2. Step 2: Convert to fraction form
    4,405/4,713.75 = 4,713.75/x
  3. Step 3: Cross multiply
    4,405x = 4,713.75 × 4,713.75
  4. Step 4: Simplify right side
    4,405x = 22,219,439.06
  5. Step 5: Solve for x
    x = 22,219,439.06/4,405
  6. Step 6: Final answer
    x = 5,044.14

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.