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Finding the Third Proportional to 4,032.28 and 4,590.42

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Solution

The third proportional to 4,032.28 and 4,590.42 is: 5,225.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032.28 : 4,590.42 = 4,590.42 : x
  2. Step 2: Convert to fraction form
    4,032.28/4,590.42 = 4,590.42/x
  3. Step 3: Cross multiply
    4,032.28x = 4,590.42 × 4,590.42
  4. Step 4: Simplify right side
    4,032.28x = 21,071,972.99
  5. Step 5: Solve for x
    x = 21,071,972.99/4,032.28
  6. Step 6: Final answer
    x = 5,225.82

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.