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Finding the Third Proportional to 20,574 and 31,438.13

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Solution

The third proportional to 20,574 and 31,438.13 is: 48,039.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,574 : 31,438.13 = 31,438.13 : x
  2. Step 2: Convert to fraction form
    20,574/31,438.13 = 31,438.13/x
  3. Step 3: Cross multiply
    20,574x = 31,438.13 × 31,438.13
  4. Step 4: Simplify right side
    20,574x = 988,355,703.52
  5. Step 5: Solve for x
    x = 988,355,703.52/20,574
  6. Step 6: Final answer
    x = 48,039.06

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Why These Related Problems?

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