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Finding the Third Proportional to 21,011.91 and 31,768.45

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Solution

The third proportional to 21,011.91 and 31,768.45 is: 48,031.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,011.91 : 31,768.45 = 31,768.45 : x
  2. Step 2: Convert to fraction form
    21,011.91/31,768.45 = 31,768.45/x
  3. Step 3: Cross multiply
    21,011.91x = 31,768.45 × 31,768.45
  4. Step 4: Simplify right side
    21,011.91x = 1,009,234,613.96
  5. Step 5: Solve for x
    x = 1,009,234,613.96/21,011.91
  6. Step 6: Final answer
    x = 48,031.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.