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Finding the Third Proportional to 13,205 and 28,613

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Solution

The third proportional to 13,205 and 28,613 is: 61,999.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205 : 28,613 = 28,613 : x
  2. Step 2: Convert to fraction form
    13,205/28,613 = 28,613/x
  3. Step 3: Cross multiply
    13,205x = 28,613 × 28,613
  4. Step 4: Simplify right side
    13,205x = 818,703,769
  5. Step 5: Solve for x
    x = 818,703,769/13,205
  6. Step 6: Final answer
    x = 61,999.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.