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Finding the Third Proportional to 28,770 and 61,540.50

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Solution

The third proportional to 28,770 and 61,540.50 is: 131,638.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,770 : 61,540.50 = 61,540.50 : x
  2. Step 2: Convert to fraction form
    28,770/61,540.50 = 61,540.50/x
  3. Step 3: Cross multiply
    28,770x = 61,540.50 × 61,540.50
  4. Step 4: Simplify right side
    28,770x = 3,787,233,140.25
  5. Step 5: Solve for x
    x = 3,787,233,140.25/28,770
  6. Step 6: Final answer
    x = 131,638.27

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.