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Finding the Third Proportional to 20,059.03 and 31,043.11

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Solution

The third proportional to 20,059.03 and 31,043.11 is: 48,041.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,059.03 : 31,043.11 = 31,043.11 : x
  2. Step 2: Convert to fraction form
    20,059.03/31,043.11 = 31,043.11/x
  3. Step 3: Cross multiply
    20,059.03x = 31,043.11 × 31,043.11
  4. Step 4: Simplify right side
    20,059.03x = 963,674,639.67
  5. Step 5: Solve for x
    x = 963,674,639.67/20,059.03
  6. Step 6: Final answer
    x = 48,041.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.