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Finding the Third Proportional to 22,986 and 48,289.50

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Solution

The third proportional to 22,986 and 48,289.50 is: 101,447.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,986 : 48,289.50 = 48,289.50 : x
  2. Step 2: Convert to fraction form
    22,986/48,289.50 = 48,289.50/x
  3. Step 3: Cross multiply
    22,986x = 48,289.50 × 48,289.50
  4. Step 4: Simplify right side
    22,986x = 2,331,875,810.25
  5. Step 5: Solve for x
    x = 2,331,875,810.25/22,986
  6. Step 6: Final answer
    x = 101,447.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.