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Finding the Third Proportional to 23,513.63 and 32,956.88

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Solution

The third proportional to 23,513.63 and 32,956.88 is: 46,192.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,513.63 : 32,956.88 = 32,956.88 : x
  2. Step 2: Convert to fraction form
    23,513.63/32,956.88 = 32,956.88/x
  3. Step 3: Cross multiply
    23,513.63x = 32,956.88 × 32,956.88
  4. Step 4: Simplify right side
    23,513.63x = 1,086,155,609.77
  5. Step 5: Solve for x
    x = 1,086,155,609.77/23,513.63
  6. Step 6: Final answer
    x = 46,192.61

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.