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Finding the Third Proportional to 23,023 and 34,984.50

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Solution

The third proportional to 23,023 and 34,984.50 is: 53,160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,023 : 34,984.50 = 34,984.50 : x
  2. Step 2: Convert to fraction form
    23,023/34,984.50 = 34,984.50/x
  3. Step 3: Cross multiply
    23,023x = 34,984.50 × 34,984.50
  4. Step 4: Simplify right side
    23,023x = 1,223,915,240.25
  5. Step 5: Solve for x
    x = 1,223,915,240.25/23,023
  6. Step 6: Final answer
    x = 53,160.55

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.