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Finding the Third Proportional to 46,837.50 and 60,772.50

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Solution

The third proportional to 46,837.50 and 60,772.50 is: 78,853.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,837.50 : 60,772.50 = 60,772.50 : x
  2. Step 2: Convert to fraction form
    46,837.50/60,772.50 = 60,772.50/x
  3. Step 3: Cross multiply
    46,837.50x = 60,772.50 × 60,772.50
  4. Step 4: Simplify right side
    46,837.50x = 3,693,296,756.25
  5. Step 5: Solve for x
    x = 3,693,296,756.25/46,837.50
  6. Step 6: Final answer
    x = 78,853.41

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.