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Finding the Third Proportional to 4,972.13 and 10,831.88

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Solution

The third proportional to 4,972.13 and 10,831.88 is: 23,597.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.13 : 10,831.88 = 10,831.88 : x
  2. Step 2: Convert to fraction form
    4,972.13/10,831.88 = 10,831.88/x
  3. Step 3: Cross multiply
    4,972.13x = 10,831.88 × 10,831.88
  4. Step 4: Simplify right side
    4,972.13x = 117,329,516.02
  5. Step 5: Solve for x
    x = 117,329,516.02/4,972.13
  6. Step 6: Final answer
    x = 23,597.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.