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Finding the Third Proportional to 23,857.50 and 40,653

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Solution

The third proportional to 23,857.50 and 40,653 is: 69,272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,857.50 : 40,653 = 40,653 : x
  2. Step 2: Convert to fraction form
    23,857.50/40,653 = 40,653/x
  3. Step 3: Cross multiply
    23,857.50x = 40,653 × 40,653
  4. Step 4: Simplify right side
    23,857.50x = 1,652,666,409
  5. Step 5: Solve for x
    x = 1,652,666,409/23,857.50
  6. Step 6: Final answer
    x = 69,272.41

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.