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Finding the Third Proportional to 15,136 and 35,172

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Solution

The third proportional to 15,136 and 35,172 is: 81,730.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,136 : 35,172 = 35,172 : x
  2. Step 2: Convert to fraction form
    15,136/35,172 = 35,172/x
  3. Step 3: Cross multiply
    15,136x = 35,172 × 35,172
  4. Step 4: Simplify right side
    15,136x = 1,237,069,584
  5. Step 5: Solve for x
    x = 1,237,069,584/15,136
  6. Step 6: Final answer
    x = 81,730.28

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.