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Finding the Third Proportional to 959.34 and 2,054.81

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Solution

The third proportional to 959.34 and 2,054.81 is: 4,401.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.34 : 2,054.81 = 2,054.81 : x
  2. Step 2: Convert to fraction form
    959.34/2,054.81 = 2,054.81/x
  3. Step 3: Cross multiply
    959.34x = 2,054.81 × 2,054.81
  4. Step 4: Simplify right side
    959.34x = 4,222,254.41
  5. Step 5: Solve for x
    x = 4,222,254.41/959.34
  6. Step 6: Final answer
    x = 4,401.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.