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Finding the Third Proportional to 30,831.50 and 66,266.50

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Solution

The third proportional to 30,831.50 and 66,266.50 is: 142,427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831.50 : 66,266.50 = 66,266.50 : x
  2. Step 2: Convert to fraction form
    30,831.50/66,266.50 = 66,266.50/x
  3. Step 3: Cross multiply
    30,831.50x = 66,266.50 × 66,266.50
  4. Step 4: Simplify right side
    30,831.50x = 4,391,249,022.25
  5. Step 5: Solve for x
    x = 4,391,249,022.25/30,831.50
  6. Step 6: Final answer
    x = 142,427.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.