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Finding the Third Proportional to 48,326 and 65,031

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Solution

The third proportional to 48,326 and 65,031 is: 87,510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,326 : 65,031 = 65,031 : x
  2. Step 2: Convert to fraction form
    48,326/65,031 = 65,031/x
  3. Step 3: Cross multiply
    48,326x = 65,031 × 65,031
  4. Step 4: Simplify right side
    48,326x = 4,229,030,961
  5. Step 5: Solve for x
    x = 4,229,030,961/48,326
  6. Step 6: Final answer
    x = 87,510.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.