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Finding the Third Proportional to 48,700 and 65,031

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Solution

The third proportional to 48,700 and 65,031 is: 86,838.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,700 : 65,031 = 65,031 : x
  2. Step 2: Convert to fraction form
    48,700/65,031 = 65,031/x
  3. Step 3: Cross multiply
    48,700x = 65,031 × 65,031
  4. Step 4: Simplify right side
    48,700x = 4,229,030,961
  5. Step 5: Solve for x
    x = 4,229,030,961/48,700
  6. Step 6: Final answer
    x = 86,838.42

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.