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Finding the Third Proportional to 13,160 and 31,124

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Solution

The third proportional to 13,160 and 31,124 is: 73,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,160 : 31,124 = 31,124 : x
  2. Step 2: Convert to fraction form
    13,160/31,124 = 31,124/x
  3. Step 3: Cross multiply
    13,160x = 31,124 × 31,124
  4. Step 4: Simplify right side
    13,160x = 968,703,376
  5. Step 5: Solve for x
    x = 968,703,376/13,160
  6. Step 6: Final answer
    x = 73,609.68

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.