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Finding the Third Proportional to 12,155 and 25,153.50

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Solution

The third proportional to 12,155 and 25,153.50 is: 52,052.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155 : 25,153.50 = 25,153.50 : x
  2. Step 2: Convert to fraction form
    12,155/25,153.50 = 25,153.50/x
  3. Step 3: Cross multiply
    12,155x = 25,153.50 × 25,153.50
  4. Step 4: Simplify right side
    12,155x = 632,698,562.25
  5. Step 5: Solve for x
    x = 632,698,562.25/12,155
  6. Step 6: Final answer
    x = 52,052.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.