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Finding the Third Proportional to 2,914 and 4,433.75

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Solution

The third proportional to 2,914 and 4,433.75 is: 6,746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914 : 4,433.75 = 4,433.75 : x
  2. Step 2: Convert to fraction form
    2,914/4,433.75 = 4,433.75/x
  3. Step 3: Cross multiply
    2,914x = 4,433.75 × 4,433.75
  4. Step 4: Simplify right side
    2,914x = 19,658,139.06
  5. Step 5: Solve for x
    x = 19,658,139.06/2,914
  6. Step 6: Final answer
    x = 6,746.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.