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Finding the Third Proportional to 15,883.50 and 23,338.50

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Solution

The third proportional to 15,883.50 and 23,338.50 is: 34,292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,883.50 : 23,338.50 = 23,338.50 : x
  2. Step 2: Convert to fraction form
    15,883.50/23,338.50 = 23,338.50/x
  3. Step 3: Cross multiply
    15,883.50x = 23,338.50 × 23,338.50
  4. Step 4: Simplify right side
    15,883.50x = 544,685,582.25
  5. Step 5: Solve for x
    x = 544,685,582.25/15,883.50
  6. Step 6: Final answer
    x = 34,292.54

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.