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Finding the Third Proportional to 20,058.18 and 31,041.94

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Solution

The third proportional to 20,058.18 and 31,041.94 is: 48,040.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,058.18 : 31,041.94 = 31,041.94 : x
  2. Step 2: Convert to fraction form
    20,058.18/31,041.94 = 31,041.94/x
  3. Step 3: Cross multiply
    20,058.18x = 31,041.94 × 31,041.94
  4. Step 4: Simplify right side
    20,058.18x = 963,602,338.47
  5. Step 5: Solve for x
    x = 963,602,338.47/20,058.18
  6. Step 6: Final answer
    x = 48,040.37

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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.