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Finding the Third Proportional to 30,228.75 and 64,831.50

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Solution

The third proportional to 30,228.75 and 64,831.50 is: 139,043.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,228.75 : 64,831.50 = 64,831.50 : x
  2. Step 2: Convert to fraction form
    30,228.75/64,831.50 = 64,831.50/x
  3. Step 3: Cross multiply
    30,228.75x = 64,831.50 × 64,831.50
  4. Step 4: Simplify right side
    30,228.75x = 4,203,123,392.25
  5. Step 5: Solve for x
    x = 4,203,123,392.25/30,228.75
  6. Step 6: Final answer
    x = 139,043.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.