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Finding the Third Proportional to 28,982.50 and 61,078.50

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Solution

The third proportional to 28,982.50 and 61,078.50 is: 128,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,982.50 : 61,078.50 = 61,078.50 : x
  2. Step 2: Convert to fraction form
    28,982.50/61,078.50 = 61,078.50/x
  3. Step 3: Cross multiply
    28,982.50x = 61,078.50 × 61,078.50
  4. Step 4: Simplify right side
    28,982.50x = 3,730,583,162.25
  5. Step 5: Solve for x
    x = 3,730,583,162.25/28,982.50
  6. Step 6: Final answer
    x = 128,718.47

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.