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Finding the Third Proportional to 19,915 and 31,082

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Solution

The third proportional to 19,915 and 31,082 is: 48,510.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,915 : 31,082 = 31,082 : x
  2. Step 2: Convert to fraction form
    19,915/31,082 = 31,082/x
  3. Step 3: Cross multiply
    19,915x = 31,082 × 31,082
  4. Step 4: Simplify right side
    19,915x = 966,090,724
  5. Step 5: Solve for x
    x = 966,090,724/19,915
  6. Step 6: Final answer
    x = 48,510.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.