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Finding the Third Proportional to 13,370 and 28,860

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Solution

The third proportional to 13,370 and 28,860 is: 62,296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,370 : 28,860 = 28,860 : x
  2. Step 2: Convert to fraction form
    13,370/28,860 = 28,860/x
  3. Step 3: Cross multiply
    13,370x = 28,860 × 28,860
  4. Step 4: Simplify right side
    13,370x = 832,899,600
  5. Step 5: Solve for x
    x = 832,899,600/13,370
  6. Step 6: Final answer
    x = 62,296.16

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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.