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Finding the Third Proportional to 45,290.50 and 65,235.50

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Solution

The third proportional to 45,290.50 and 65,235.50 is: 93,963.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,290.50 : 65,235.50 = 65,235.50 : x
  2. Step 2: Convert to fraction form
    45,290.50/65,235.50 = 65,235.50/x
  3. Step 3: Cross multiply
    45,290.50x = 65,235.50 × 65,235.50
  4. Step 4: Simplify right side
    45,290.50x = 4,255,670,460.25
  5. Step 5: Solve for x
    x = 4,255,670,460.25/45,290.50
  6. Step 6: Final answer
    x = 93,963.87

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.