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Finding the Third Proportional to 20,054.25 and 31,048.88

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Solution

The third proportional to 20,054.25 and 31,048.88 is: 48,071.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,054.25 : 31,048.88 = 31,048.88 : x
  2. Step 2: Convert to fraction form
    20,054.25/31,048.88 = 31,048.88/x
  3. Step 3: Cross multiply
    20,054.25x = 31,048.88 × 31,048.88
  4. Step 4: Simplify right side
    20,054.25x = 964,032,638.77
  5. Step 5: Solve for x
    x = 964,032,638.77/20,054.25
  6. Step 6: Final answer
    x = 48,071.24

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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.