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Finding the Third Proportional to 19,224 and 46,527.75

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Solution

The third proportional to 19,224 and 46,527.75 is: 112,610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,224 : 46,527.75 = 46,527.75 : x
  2. Step 2: Convert to fraction form
    19,224/46,527.75 = 46,527.75/x
  3. Step 3: Cross multiply
    19,224x = 46,527.75 × 46,527.75
  4. Step 4: Simplify right side
    19,224x = 2,164,831,520.06
  5. Step 5: Solve for x
    x = 2,164,831,520.06/19,224
  6. Step 6: Final answer
    x = 112,610.88

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.