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Finding the Third Proportional to 13,465 and 29,494

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Solution

The third proportional to 13,465 and 29,494 is: 64,604.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465 : 29,494 = 29,494 : x
  2. Step 2: Convert to fraction form
    13,465/29,494 = 29,494/x
  3. Step 3: Cross multiply
    13,465x = 29,494 × 29,494
  4. Step 4: Simplify right side
    13,465x = 869,896,036
  5. Step 5: Solve for x
    x = 869,896,036/13,465
  6. Step 6: Final answer
    x = 64,604.24

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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.