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Finding the Third Proportional to 20,058.47 and 31,042.41

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Solution

The third proportional to 20,058.47 and 31,042.41 is: 48,041.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,058.47 : 31,042.41 = 31,042.41 : x
  2. Step 2: Convert to fraction form
    20,058.47/31,042.41 = 31,042.41/x
  3. Step 3: Cross multiply
    20,058.47x = 31,042.41 × 31,042.41
  4. Step 4: Simplify right side
    20,058.47x = 963,630,985.79
  5. Step 5: Solve for x
    x = 963,630,985.79/20,058.47
  6. Step 6: Final answer
    x = 48,041.10

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