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Finding the Third Proportional to 29,465 and 63,636

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Solution

The third proportional to 29,465 and 63,636 is: 137,435.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,465 : 63,636 = 63,636 : x
  2. Step 2: Convert to fraction form
    29,465/63,636 = 63,636/x
  3. Step 3: Cross multiply
    29,465x = 63,636 × 63,636
  4. Step 4: Simplify right side
    29,465x = 4,049,540,496
  5. Step 5: Solve for x
    x = 4,049,540,496/29,465
  6. Step 6: Final answer
    x = 137,435.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.