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Finding the Third Proportional to 23,653 and 32,887.50

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Solution

The third proportional to 23,653 and 32,887.50 is: 45,727.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653 : 32,887.50 = 32,887.50 : x
  2. Step 2: Convert to fraction form
    23,653/32,887.50 = 32,887.50/x
  3. Step 3: Cross multiply
    23,653x = 32,887.50 × 32,887.50
  4. Step 4: Simplify right side
    23,653x = 1,081,587,656.25
  5. Step 5: Solve for x
    x = 1,081,587,656.25/23,653
  6. Step 6: Final answer
    x = 45,727.29

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.