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Finding the Third Proportional to 7,145.72 and 16,831.55

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Solution

The third proportional to 7,145.72 and 16,831.55 is: 39,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.72 : 16,831.55 = 16,831.55 : x
  2. Step 2: Convert to fraction form
    7,145.72/16,831.55 = 16,831.55/x
  3. Step 3: Cross multiply
    7,145.72x = 16,831.55 × 16,831.55
  4. Step 4: Simplify right side
    7,145.72x = 283,300,970.21
  5. Step 5: Solve for x
    x = 283,300,970.21/7,145.72
  6. Step 6: Final answer
    x = 39,646.25

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.