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Finding the Third Proportional to 23,719.50 and 34,303.50

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Solution

The third proportional to 23,719.50 and 34,303.50 is: 49,610.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,719.50 : 34,303.50 = 34,303.50 : x
  2. Step 2: Convert to fraction form
    23,719.50/34,303.50 = 34,303.50/x
  3. Step 3: Cross multiply
    23,719.50x = 34,303.50 × 34,303.50
  4. Step 4: Simplify right side
    23,719.50x = 1,176,730,112.25
  5. Step 5: Solve for x
    x = 1,176,730,112.25/23,719.50
  6. Step 6: Final answer
    x = 49,610.24

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.