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Finding the Third Proportional to 4,607.65 and 6,949.65

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Solution

The third proportional to 4,607.65 and 6,949.65 is: 10,482.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.65 : 6,949.65 = 6,949.65 : x
  2. Step 2: Convert to fraction form
    4,607.65/6,949.65 = 6,949.65/x
  3. Step 3: Cross multiply
    4,607.65x = 6,949.65 × 6,949.65
  4. Step 4: Simplify right side
    4,607.65x = 48,297,667.70
  5. Step 5: Solve for x
    x = 48,297,667.70/4,607.65
  6. Step 6: Final answer
    x = 10,482.06

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