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Finding the Third Proportional to 1,301.70 and 1,906.98

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Solution

The third proportional to 1,301.70 and 1,906.98 is: 2,793.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.70 : 1,906.98 = 1,906.98 : x
  2. Step 2: Convert to fraction form
    1,301.70/1,906.98 = 1,906.98/x
  3. Step 3: Cross multiply
    1,301.70x = 1,906.98 × 1,906.98
  4. Step 4: Simplify right side
    1,301.70x = 3,636,574.51
  5. Step 5: Solve for x
    x = 3,636,574.51/1,301.70
  6. Step 6: Final answer
    x = 2,793.72

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.