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Finding the Third Proportional to 1,328.59 and 2,908.93

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Solution

The third proportional to 1,328.59 and 2,908.93 is: 6,369.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.59 : 2,908.93 = 2,908.93 : x
  2. Step 2: Convert to fraction form
    1,328.59/2,908.93 = 2,908.93/x
  3. Step 3: Cross multiply
    1,328.59x = 2,908.93 × 2,908.93
  4. Step 4: Simplify right side
    1,328.59x = 8,461,894.65
  5. Step 5: Solve for x
    x = 8,461,894.65/1,328.59
  6. Step 6: Final answer
    x = 6,369.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.