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Finding the Third Proportional to 2,720.63 and 5,966.63

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Solution

The third proportional to 2,720.63 and 5,966.63 is: 13,085.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.63 : 5,966.63 = 5,966.63 : x
  2. Step 2: Convert to fraction form
    2,720.63/5,966.63 = 5,966.63/x
  3. Step 3: Cross multiply
    2,720.63x = 5,966.63 × 5,966.63
  4. Step 4: Simplify right side
    2,720.63x = 35,600,613.89
  5. Step 5: Solve for x
    x = 35,600,613.89/2,720.63
  6. Step 6: Final answer
    x = 13,085.45

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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.