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Finding the Third Proportional to 21,189.94 and 31,136.91

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Solution

The third proportional to 21,189.94 and 31,136.91 is: 45,753.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,189.94 : 31,136.91 = 31,136.91 : x
  2. Step 2: Convert to fraction form
    21,189.94/31,136.91 = 31,136.91/x
  3. Step 3: Cross multiply
    21,189.94x = 31,136.91 × 31,136.91
  4. Step 4: Simplify right side
    21,189.94x = 969,506,930.82
  5. Step 5: Solve for x
    x = 969,506,930.82/21,189.94
  6. Step 6: Final answer
    x = 45,753.18

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.