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Finding the Third Proportional to 4,554.75 and 7,023.75

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Solution

The third proportional to 4,554.75 and 7,023.75 is: 10,831.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,554.75 : 7,023.75 = 7,023.75 : x
  2. Step 2: Convert to fraction form
    4,554.75/7,023.75 = 7,023.75/x
  3. Step 3: Cross multiply
    4,554.75x = 7,023.75 × 7,023.75
  4. Step 4: Simplify right side
    4,554.75x = 49,333,064.06
  5. Step 5: Solve for x
    x = 49,333,064.06/4,554.75
  6. Step 6: Final answer
    x = 10,831.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.