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Finding the Third Proportional to 1,928.81 and 2,920.31

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Solution

The third proportional to 1,928.81 and 2,920.31 is: 4,421.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.81 : 2,920.31 = 2,920.31 : x
  2. Step 2: Convert to fraction form
    1,928.81/2,920.31 = 2,920.31/x
  3. Step 3: Cross multiply
    1,928.81x = 2,920.31 × 2,920.31
  4. Step 4: Simplify right side
    1,928.81x = 8,528,225.10
  5. Step 5: Solve for x
    x = 8,528,225.10/1,928.81
  6. Step 6: Final answer
    x = 4,421.49

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Why These Related Problems?

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