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Finding the Third Proportional to 54,526.50 and 73,652.63

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Solution

The third proportional to 54,526.50 and 73,652.63 is: 99,487.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,526.50 : 73,652.63 = 73,652.63 : x
  2. Step 2: Convert to fraction form
    54,526.50/73,652.63 = 73,652.63/x
  3. Step 3: Cross multiply
    54,526.50x = 73,652.63 × 73,652.63
  4. Step 4: Simplify right side
    54,526.50x = 5,424,709,169.39
  5. Step 5: Solve for x
    x = 5,424,709,169.39/54,526.50
  6. Step 6: Final answer
    x = 99,487.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.