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Finding the Third Proportional to 1,709.44 and 3,688.88

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Solution

The third proportional to 1,709.44 and 3,688.88 is: 7,960.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.44 : 3,688.88 = 3,688.88 : x
  2. Step 2: Convert to fraction form
    1,709.44/3,688.88 = 3,688.88/x
  3. Step 3: Cross multiply
    1,709.44x = 3,688.88 × 3,688.88
  4. Step 4: Simplify right side
    1,709.44x = 13,607,798.77
  5. Step 5: Solve for x
    x = 13,607,798.77/1,709.44
  6. Step 6: Final answer
    x = 7,960.40

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.