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Finding the Third Proportional to 4,537.75 and 7,010.88

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Solution

The third proportional to 4,537.75 and 7,010.88 is: 10,831.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.75 : 7,010.88 = 7,010.88 : x
  2. Step 2: Convert to fraction form
    4,537.75/7,010.88 = 7,010.88/x
  3. Step 3: Cross multiply
    4,537.75x = 7,010.88 × 7,010.88
  4. Step 4: Simplify right side
    4,537.75x = 49,152,368.27
  5. Step 5: Solve for x
    x = 49,152,368.27/4,537.75
  6. Step 6: Final answer
    x = 10,831.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.