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Finding the Third Proportional to 34,710 and 53,713

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Solution

The third proportional to 34,710 and 53,713 is: 83,119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,710 : 53,713 = 53,713 : x
  2. Step 2: Convert to fraction form
    34,710/53,713 = 53,713/x
  3. Step 3: Cross multiply
    34,710x = 53,713 × 53,713
  4. Step 4: Simplify right side
    34,710x = 2,885,086,369
  5. Step 5: Solve for x
    x = 2,885,086,369/34,710
  6. Step 6: Final answer
    x = 83,119.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.