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Finding the Third Proportional to 23,117.25 and 34,808.63

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Solution

The third proportional to 23,117.25 and 34,808.63 is: 52,412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,117.25 : 34,808.63 = 34,808.63 : x
  2. Step 2: Convert to fraction form
    23,117.25/34,808.63 = 34,808.63/x
  3. Step 3: Cross multiply
    23,117.25x = 34,808.63 × 34,808.63
  4. Step 4: Simplify right side
    23,117.25x = 1,211,640,374.39
  5. Step 5: Solve for x
    x = 1,211,640,374.39/23,117.25
  6. Step 6: Final answer
    x = 52,412.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.