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Finding the Third Proportional to 19,831.50 and 41,307

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Solution

The third proportional to 19,831.50 and 41,307 is: 86,038.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,831.50 : 41,307 = 41,307 : x
  2. Step 2: Convert to fraction form
    19,831.50/41,307 = 41,307/x
  3. Step 3: Cross multiply
    19,831.50x = 41,307 × 41,307
  4. Step 4: Simplify right side
    19,831.50x = 1,706,268,249
  5. Step 5: Solve for x
    x = 1,706,268,249/19,831.50
  6. Step 6: Final answer
    x = 86,038.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.