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Finding the Third Proportional to 1,928.67 and 2,920.01

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Solution

The third proportional to 1,928.67 and 2,920.01 is: 4,420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.67 : 2,920.01 = 2,920.01 : x
  2. Step 2: Convert to fraction form
    1,928.67/2,920.01 = 2,920.01/x
  3. Step 3: Cross multiply
    1,928.67x = 2,920.01 × 2,920.01
  4. Step 4: Simplify right side
    1,928.67x = 8,526,445.63
  5. Step 5: Solve for x
    x = 8,526,445.63/1,928.67
  6. Step 6: Final answer
    x = 4,420.89

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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.