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Finding the Third Proportional to 4,831.13 and 10,181.25

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Solution

The third proportional to 4,831.13 and 10,181.25 is: 21,456.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,831.13 : 10,181.25 = 10,181.25 : x
  2. Step 2: Convert to fraction form
    4,831.13/10,181.25 = 10,181.25/x
  3. Step 3: Cross multiply
    4,831.13x = 10,181.25 × 10,181.25
  4. Step 4: Simplify right side
    4,831.13x = 103,657,851.56
  5. Step 5: Solve for x
    x = 103,657,851.56/4,831.13
  6. Step 6: Final answer
    x = 21,456.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.