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Finding the Third Proportional to 13,536 and 29,502

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Solution

The third proportional to 13,536 and 29,502 is: 64,300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536 : 29,502 = 29,502 : x
  2. Step 2: Convert to fraction form
    13,536/29,502 = 29,502/x
  3. Step 3: Cross multiply
    13,536x = 29,502 × 29,502
  4. Step 4: Simplify right side
    13,536x = 870,368,004
  5. Step 5: Solve for x
    x = 870,368,004/13,536
  6. Step 6: Final answer
    x = 64,300.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.