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Finding the Third Proportional to 975.06 and 2,301.81

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Solution

The third proportional to 975.06 and 2,301.81 is: 5,433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.06 : 2,301.81 = 2,301.81 : x
  2. Step 2: Convert to fraction form
    975.06/2,301.81 = 2,301.81/x
  3. Step 3: Cross multiply
    975.06x = 2,301.81 × 2,301.81
  4. Step 4: Simplify right side
    975.06x = 5,298,340.79
  5. Step 5: Solve for x
    x = 5,298,340.79/975.06
  6. Step 6: Final answer
    x = 5,433.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.