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Finding the Third Proportional to 1,258.66 and 1,850.98

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Solution

The third proportional to 1,258.66 and 1,850.98 is: 2,722.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.66 : 1,850.98 = 1,850.98 : x
  2. Step 2: Convert to fraction form
    1,258.66/1,850.98 = 1,850.98/x
  3. Step 3: Cross multiply
    1,258.66x = 1,850.98 × 1,850.98
  4. Step 4: Simplify right side
    1,258.66x = 3,426,114.23
  5. Step 5: Solve for x
    x = 3,426,114.23/1,258.66
  6. Step 6: Final answer
    x = 2,722.02

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.