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Finding the Third Proportional to 2,360.50 and 5,153

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Solution

The third proportional to 2,360.50 and 5,153 is: 11,249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.50 : 5,153 = 5,153 : x
  2. Step 2: Convert to fraction form
    2,360.50/5,153 = 5,153/x
  3. Step 3: Cross multiply
    2,360.50x = 5,153 × 5,153
  4. Step 4: Simplify right side
    2,360.50x = 26,553,409
  5. Step 5: Solve for x
    x = 26,553,409/2,360.50
  6. Step 6: Final answer
    x = 11,249.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.