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Finding the Third Proportional to 34,708 and 53,710

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Solution

The third proportional to 34,708 and 53,710 is: 83,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,708 : 53,710 = 53,710 : x
  2. Step 2: Convert to fraction form
    34,708/53,710 = 53,710/x
  3. Step 3: Cross multiply
    34,708x = 53,710 × 53,710
  4. Step 4: Simplify right side
    34,708x = 2,884,764,100
  5. Step 5: Solve for x
    x = 2,884,764,100/34,708
  6. Step 6: Final answer
    x = 83,115.25

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