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Finding the Third Proportional to 23,838 and 35,017.50

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Solution

The third proportional to 23,838 and 35,017.50 is: 51,439.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838 : 35,017.50 = 35,017.50 : x
  2. Step 2: Convert to fraction form
    23,838/35,017.50 = 35,017.50/x
  3. Step 3: Cross multiply
    23,838x = 35,017.50 × 35,017.50
  4. Step 4: Simplify right side
    23,838x = 1,226,225,306.25
  5. Step 5: Solve for x
    x = 1,226,225,306.25/23,838
  6. Step 6: Final answer
    x = 51,439.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.