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Finding the Third Proportional to 23,641.50 and 35,953.50

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Solution

The third proportional to 23,641.50 and 35,953.50 is: 54,677.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,641.50 : 35,953.50 = 35,953.50 : x
  2. Step 2: Convert to fraction form
    23,641.50/35,953.50 = 35,953.50/x
  3. Step 3: Cross multiply
    23,641.50x = 35,953.50 × 35,953.50
  4. Step 4: Simplify right side
    23,641.50x = 1,292,654,162.25
  5. Step 5: Solve for x
    x = 1,292,654,162.25/23,641.50
  6. Step 6: Final answer
    x = 54,677.33

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.