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Finding the Third Proportional to 2,904.75 and 4,384.41

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Solution

The third proportional to 2,904.75 and 4,384.41 is: 6,617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.75 : 4,384.41 = 4,384.41 : x
  2. Step 2: Convert to fraction form
    2,904.75/4,384.41 = 4,384.41/x
  3. Step 3: Cross multiply
    2,904.75x = 4,384.41 × 4,384.41
  4. Step 4: Simplify right side
    2,904.75x = 19,223,018.17
  5. Step 5: Solve for x
    x = 19,223,018.17/2,904.75
  6. Step 6: Final answer
    x = 6,617.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.