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Finding the Third Proportional to 2,580.19 and 5,340.94

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Solution

The third proportional to 2,580.19 and 5,340.94 is: 11,055.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.19 : 5,340.94 = 5,340.94 : x
  2. Step 2: Convert to fraction form
    2,580.19/5,340.94 = 5,340.94/x
  3. Step 3: Cross multiply
    2,580.19x = 5,340.94 × 5,340.94
  4. Step 4: Simplify right side
    2,580.19x = 28,525,613.38
  5. Step 5: Solve for x
    x = 28,525,613.38/2,580.19
  6. Step 6: Final answer
    x = 11,055.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.