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Finding the Third Proportional to 36,528 and 54,702

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Solution

The third proportional to 36,528 and 54,702 is: 81,918.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,528 : 54,702 = 54,702 : x
  2. Step 2: Convert to fraction form
    36,528/54,702 = 54,702/x
  3. Step 3: Cross multiply
    36,528x = 54,702 × 54,702
  4. Step 4: Simplify right side
    36,528x = 2,992,308,804
  5. Step 5: Solve for x
    x = 2,992,308,804/36,528
  6. Step 6: Final answer
    x = 81,918.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.