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Finding the Third Proportional to 21,462.47 and 32,831.58

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Solution

The third proportional to 21,462.47 and 32,831.58 is: 50,223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,462.47 : 32,831.58 = 32,831.58 : x
  2. Step 2: Convert to fraction form
    21,462.47/32,831.58 = 32,831.58/x
  3. Step 3: Cross multiply
    21,462.47x = 32,831.58 × 32,831.58
  4. Step 4: Simplify right side
    21,462.47x = 1,077,912,522.18
  5. Step 5: Solve for x
    x = 1,077,912,522.18/21,462.47
  6. Step 6: Final answer
    x = 50,223.14

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.