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Finding the Third Proportional to 21,016.13 and 31,602.38

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Solution

The third proportional to 21,016.13 and 31,602.38 is: 47,521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,016.13 : 31,602.38 = 31,602.38 : x
  2. Step 2: Convert to fraction form
    21,016.13/31,602.38 = 31,602.38/x
  3. Step 3: Cross multiply
    21,016.13x = 31,602.38 × 31,602.38
  4. Step 4: Simplify right side
    21,016.13x = 998,710,105.64
  5. Step 5: Solve for x
    x = 998,710,105.64/21,016.13
  6. Step 6: Final answer
    x = 47,521.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.