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Finding the Third Proportional to 4,607.30 and 6,949.55

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Solution

The third proportional to 4,607.30 and 6,949.55 is: 10,482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.30 : 6,949.55 = 6,949.55 : x
  2. Step 2: Convert to fraction form
    4,607.30/6,949.55 = 6,949.55/x
  3. Step 3: Cross multiply
    4,607.30x = 6,949.55 × 6,949.55
  4. Step 4: Simplify right side
    4,607.30x = 48,296,201.77
  5. Step 5: Solve for x
    x = 48,296,201.77/4,607.30
  6. Step 6: Final answer
    x = 10,482.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.