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Finding the Third Proportional to 23,622 and 61,345.50

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Solution

The third proportional to 23,622 and 61,345.50 is: 159,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,622 : 61,345.50 = 61,345.50 : x
  2. Step 2: Convert to fraction form
    23,622/61,345.50 = 61,345.50/x
  3. Step 3: Cross multiply
    23,622x = 61,345.50 × 61,345.50
  4. Step 4: Simplify right side
    23,622x = 3,763,270,370.25
  5. Step 5: Solve for x
    x = 3,763,270,370.25/23,622
  6. Step 6: Final answer
    x = 159,312.10

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These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.