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Finding the Third Proportional to 34,864 and 53,342

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Solution

The third proportional to 34,864 and 53,342 is: 81,613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,864 : 53,342 = 53,342 : x
  2. Step 2: Convert to fraction form
    34,864/53,342 = 53,342/x
  3. Step 3: Cross multiply
    34,864x = 53,342 × 53,342
  4. Step 4: Simplify right side
    34,864x = 2,845,368,964
  5. Step 5: Solve for x
    x = 2,845,368,964/34,864
  6. Step 6: Final answer
    x = 81,613.38

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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.