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Finding the Third Proportional to 23,719.50 and 52,689.75

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Solution

The third proportional to 23,719.50 and 52,689.75 is: 117,043.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,719.50 : 52,689.75 = 52,689.75 : x
  2. Step 2: Convert to fraction form
    23,719.50/52,689.75 = 52,689.75/x
  3. Step 3: Cross multiply
    23,719.50x = 52,689.75 × 52,689.75
  4. Step 4: Simplify right side
    23,719.50x = 2,776,209,755.06
  5. Step 5: Solve for x
    x = 2,776,209,755.06/23,719.50
  6. Step 6: Final answer
    x = 117,043.35

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.