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Finding the Third Proportional to 2,900.88 and 4,423.46

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Solution

The third proportional to 2,900.88 and 4,423.46 is: 6,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.88 : 4,423.46 = 4,423.46 : x
  2. Step 2: Convert to fraction form
    2,900.88/4,423.46 = 4,423.46/x
  3. Step 3: Cross multiply
    2,900.88x = 4,423.46 × 4,423.46
  4. Step 4: Simplify right side
    2,900.88x = 19,567,041.22
  5. Step 5: Solve for x
    x = 19,567,041.22/2,900.88
  6. Step 6: Final answer
    x = 6,745.20

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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.