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Finding the Third Proportional to 21,083.25 and 31,510.88

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Solution

The third proportional to 21,083.25 and 31,510.88 is: 47,095.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,083.25 : 31,510.88 = 31,510.88 : x
  2. Step 2: Convert to fraction form
    21,083.25/31,510.88 = 31,510.88/x
  3. Step 3: Cross multiply
    21,083.25x = 31,510.88 × 31,510.88
  4. Step 4: Simplify right side
    21,083.25x = 992,935,243.27
  5. Step 5: Solve for x
    x = 992,935,243.27/21,083.25
  6. Step 6: Final answer
    x = 47,095.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.