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Finding the Third Proportional to 48,615.50 and 74,998.50

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Solution

The third proportional to 48,615.50 and 74,998.50 is: 115,699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,615.50 : 74,998.50 = 74,998.50 : x
  2. Step 2: Convert to fraction form
    48,615.50/74,998.50 = 74,998.50/x
  3. Step 3: Cross multiply
    48,615.50x = 74,998.50 × 74,998.50
  4. Step 4: Simplify right side
    48,615.50x = 5,624,775,002.25
  5. Step 5: Solve for x
    x = 5,624,775,002.25/48,615.50
  6. Step 6: Final answer
    x = 115,699.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.