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Finding the Third Proportional to 36,085.50 and 53,831.25

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Solution

The third proportional to 36,085.50 and 53,831.25 is: 80,303.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,085.50 : 53,831.25 = 53,831.25 : x
  2. Step 2: Convert to fraction form
    36,085.50/53,831.25 = 53,831.25/x
  3. Step 3: Cross multiply
    36,085.50x = 53,831.25 × 53,831.25
  4. Step 4: Simplify right side
    36,085.50x = 2,897,803,476.56
  5. Step 5: Solve for x
    x = 2,897,803,476.56/36,085.50
  6. Step 6: Final answer
    x = 80,303.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.