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Finding the Third Proportional to 3,551.06 and 4,807.69

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Solution

The third proportional to 3,551.06 and 4,807.69 is: 6,509.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,551.06 : 4,807.69 = 4,807.69 : x
  2. Step 2: Convert to fraction form
    3,551.06/4,807.69 = 4,807.69/x
  3. Step 3: Cross multiply
    3,551.06x = 4,807.69 × 4,807.69
  4. Step 4: Simplify right side
    3,551.06x = 23,113,859.10
  5. Step 5: Solve for x
    x = 23,113,859.10/3,551.06
  6. Step 6: Final answer
    x = 6,509.00

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.