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Finding the Third Proportional to 2,648.81 and 4,505.06

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Solution

The third proportional to 2,648.81 and 4,505.06 is: 7,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.81 : 4,505.06 = 4,505.06 : x
  2. Step 2: Convert to fraction form
    2,648.81/4,505.06 = 4,505.06/x
  3. Step 3: Cross multiply
    2,648.81x = 4,505.06 × 4,505.06
  4. Step 4: Simplify right side
    2,648.81x = 20,295,588.13
  5. Step 5: Solve for x
    x = 20,295,588.13/2,648.81
  6. Step 6: Final answer
    x = 7,662.15

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.