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Finding the Third Proportional to 37,136 and 53,656

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Solution

The third proportional to 37,136 and 53,656 is: 77,524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,136 : 53,656 = 53,656 : x
  2. Step 2: Convert to fraction form
    37,136/53,656 = 53,656/x
  3. Step 3: Cross multiply
    37,136x = 53,656 × 53,656
  4. Step 4: Simplify right side
    37,136x = 2,878,966,336
  5. Step 5: Solve for x
    x = 2,878,966,336/37,136
  6. Step 6: Final answer
    x = 77,524.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.