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Finding the Third Proportional to 23,653.50 and 32,888.25

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Solution

The third proportional to 23,653.50 and 32,888.25 is: 45,728.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653.50 : 32,888.25 = 32,888.25 : x
  2. Step 2: Convert to fraction form
    23,653.50/32,888.25 = 32,888.25/x
  3. Step 3: Cross multiply
    23,653.50x = 32,888.25 × 32,888.25
  4. Step 4: Simplify right side
    23,653.50x = 1,081,636,988.06
  5. Step 5: Solve for x
    x = 1,081,636,988.06/23,653.50
  6. Step 6: Final answer
    x = 45,728.41

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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.