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Finding the Third Proportional to 2,719.88 and 4,136.63

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Solution

The third proportional to 2,719.88 and 4,136.63 is: 6,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.88 : 4,136.63 = 4,136.63 : x
  2. Step 2: Convert to fraction form
    2,719.88/4,136.63 = 4,136.63/x
  3. Step 3: Cross multiply
    2,719.88x = 4,136.63 × 4,136.63
  4. Step 4: Simplify right side
    2,719.88x = 17,111,666.39
  5. Step 5: Solve for x
    x = 17,111,666.39/2,719.88
  6. Step 6: Final answer
    x = 6,291.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.