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Finding the Third Proportional to 2,653 and 5,652.50

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Solution

The third proportional to 2,653 and 5,652.50 is: 12,043.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653 : 5,652.50 = 5,652.50 : x
  2. Step 2: Convert to fraction form
    2,653/5,652.50 = 5,652.50/x
  3. Step 3: Cross multiply
    2,653x = 5,652.50 × 5,652.50
  4. Step 4: Simplify right side
    2,653x = 31,950,756.25
  5. Step 5: Solve for x
    x = 31,950,756.25/2,653
  6. Step 6: Final answer
    x = 12,043.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.