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Finding the Third Proportional to 31,831.10 and 48,438.63

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Solution

The third proportional to 31,831.10 and 48,438.63 is: 73,710.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,831.10 : 48,438.63 = 48,438.63 : x
  2. Step 2: Convert to fraction form
    31,831.10/48,438.63 = 48,438.63/x
  3. Step 3: Cross multiply
    31,831.10x = 48,438.63 × 48,438.63
  4. Step 4: Simplify right side
    31,831.10x = 2,346,301,148.74
  5. Step 5: Solve for x
    x = 2,346,301,148.74/31,831.10
  6. Step 6: Final answer
    x = 73,710.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.