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Finding the Third Proportional to 12,153 and 15,529.50

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Solution

The third proportional to 12,153 and 15,529.50 is: 19,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153 : 15,529.50 = 15,529.50 : x
  2. Step 2: Convert to fraction form
    12,153/15,529.50 = 15,529.50/x
  3. Step 3: Cross multiply
    12,153x = 15,529.50 × 15,529.50
  4. Step 4: Simplify right side
    12,153x = 241,165,370.25
  5. Step 5: Solve for x
    x = 241,165,370.25/12,153
  6. Step 6: Final answer
    x = 19,844.10

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.