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Finding the Third Proportional to 36,209.53 and 53,018.06

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Solution

The third proportional to 36,209.53 and 53,018.06 is: 77,629.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,209.53 : 53,018.06 = 53,018.06 : x
  2. Step 2: Convert to fraction form
    36,209.53/53,018.06 = 53,018.06/x
  3. Step 3: Cross multiply
    36,209.53x = 53,018.06 × 53,018.06
  4. Step 4: Simplify right side
    36,209.53x = 2,810,914,951.25
  5. Step 5: Solve for x
    x = 2,810,914,951.25/36,209.53
  6. Step 6: Final answer
    x = 77,629.14

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.