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Finding the Third Proportional to 13,509 and 29,196

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Solution

The third proportional to 13,509 and 29,196 is: 63,099.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509 : 29,196 = 29,196 : x
  2. Step 2: Convert to fraction form
    13,509/29,196 = 29,196/x
  3. Step 3: Cross multiply
    13,509x = 29,196 × 29,196
  4. Step 4: Simplify right side
    13,509x = 852,406,416
  5. Step 5: Solve for x
    x = 852,406,416/13,509
  6. Step 6: Final answer
    x = 63,099.15

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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.