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Finding the Third Proportional to 34,335 and 53,136

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Solution

The third proportional to 34,335 and 53,136 is: 82,231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,335 : 53,136 = 53,136 : x
  2. Step 2: Convert to fraction form
    34,335/53,136 = 53,136/x
  3. Step 3: Cross multiply
    34,335x = 53,136 × 53,136
  4. Step 4: Simplify right side
    34,335x = 2,823,434,496
  5. Step 5: Solve for x
    x = 2,823,434,496/34,335
  6. Step 6: Final answer
    x = 82,231.96

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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.