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Finding the Third Proportional to 23,350.50 and 32,109.75

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Solution

The third proportional to 23,350.50 and 32,109.75 is: 44,154.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,350.50 : 32,109.75 = 32,109.75 : x
  2. Step 2: Convert to fraction form
    23,350.50/32,109.75 = 32,109.75/x
  3. Step 3: Cross multiply
    23,350.50x = 32,109.75 × 32,109.75
  4. Step 4: Simplify right side
    23,350.50x = 1,031,036,045.06
  5. Step 5: Solve for x
    x = 1,031,036,045.06/23,350.50
  6. Step 6: Final answer
    x = 44,154.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.