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Finding the Third Proportional to 12,154 and 25,151.50

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Solution

The third proportional to 12,154 and 25,151.50 is: 52,048.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154 : 25,151.50 = 25,151.50 : x
  2. Step 2: Convert to fraction form
    12,154/25,151.50 = 25,151.50/x
  3. Step 3: Cross multiply
    12,154x = 25,151.50 × 25,151.50
  4. Step 4: Simplify right side
    12,154x = 632,597,952.25
  5. Step 5: Solve for x
    x = 632,597,952.25/12,154
  6. Step 6: Final answer
    x = 52,048.54

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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.