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Finding the Third Proportional to 2,606.87 and 5,386.18

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Solution

The third proportional to 2,606.87 and 5,386.18 is: 11,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.87 : 5,386.18 = 5,386.18 : x
  2. Step 2: Convert to fraction form
    2,606.87/5,386.18 = 5,386.18/x
  3. Step 3: Cross multiply
    2,606.87x = 5,386.18 × 5,386.18
  4. Step 4: Simplify right side
    2,606.87x = 29,010,973.71
  5. Step 5: Solve for x
    x = 29,010,973.71/2,606.87
  6. Step 6: Final answer
    x = 11,128.66

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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.