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Finding the Third Proportional to 1,736.02 and 2,710.55

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Solution

The third proportional to 1,736.02 and 2,710.55 is: 4,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.02 : 2,710.55 = 2,710.55 : x
  2. Step 2: Convert to fraction form
    1,736.02/2,710.55 = 2,710.55/x
  3. Step 3: Cross multiply
    1,736.02x = 2,710.55 × 2,710.55
  4. Step 4: Simplify right side
    1,736.02x = 7,347,064.36
  5. Step 5: Solve for x
    x = 7,347,064.36/1,736.02
  6. Step 6: Final answer
    x = 4,232.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.