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Finding the Third Proportional to 23,160.94 and 34,637.63

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Solution

The third proportional to 23,160.94 and 34,637.63 is: 51,801.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,160.94 : 34,637.63 = 34,637.63 : x
  2. Step 2: Convert to fraction form
    23,160.94/34,637.63 = 34,637.63/x
  3. Step 3: Cross multiply
    23,160.94x = 34,637.63 × 34,637.63
  4. Step 4: Simplify right side
    23,160.94x = 1,199,765,065.64
  5. Step 5: Solve for x
    x = 1,199,765,065.64/23,160.94
  6. Step 6: Final answer
    x = 51,801.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.