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Finding the Third Proportional to 1,695.88 and 2,697.63

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Solution

The third proportional to 1,695.88 and 2,697.63 is: 4,291.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.88 : 2,697.63 = 2,697.63 : x
  2. Step 2: Convert to fraction form
    1,695.88/2,697.63 = 2,697.63/x
  3. Step 3: Cross multiply
    1,695.88x = 2,697.63 × 2,697.63
  4. Step 4: Simplify right side
    1,695.88x = 7,277,180.64
  5. Step 5: Solve for x
    x = 7,277,180.64/1,695.88
  6. Step 6: Final answer
    x = 4,291.11

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.