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Finding the Third Proportional to 9,831.38 and 21,226.50

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Solution

The third proportional to 9,831.38 and 21,226.50 is: 45,829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.38 : 21,226.50 = 21,226.50 : x
  2. Step 2: Convert to fraction form
    9,831.38/21,226.50 = 21,226.50/x
  3. Step 3: Cross multiply
    9,831.38x = 21,226.50 × 21,226.50
  4. Step 4: Simplify right side
    9,831.38x = 450,564,302.25
  5. Step 5: Solve for x
    x = 450,564,302.25/9,831.38
  6. Step 6: Final answer
    x = 45,829.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.