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Finding the Third Proportional to 35,108 and 53,708

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Solution

The third proportional to 35,108 and 53,708 is: 82,162.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,108 : 53,708 = 53,708 : x
  2. Step 2: Convert to fraction form
    35,108/53,708 = 53,708/x
  3. Step 3: Cross multiply
    35,108x = 53,708 × 53,708
  4. Step 4: Simplify right side
    35,108x = 2,884,549,264
  5. Step 5: Solve for x
    x = 2,884,549,264/35,108
  6. Step 6: Final answer
    x = 82,162.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.