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Finding the Third Proportional to 15,636 and 34,237

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Solution

The third proportional to 15,636 and 34,237 is: 74,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,636 : 34,237 = 34,237 : x
  2. Step 2: Convert to fraction form
    15,636/34,237 = 34,237/x
  3. Step 3: Cross multiply
    15,636x = 34,237 × 34,237
  4. Step 4: Simplify right side
    15,636x = 1,172,172,169
  5. Step 5: Solve for x
    x = 1,172,172,169/15,636
  6. Step 6: Final answer
    x = 74,966.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.