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Finding the Third Proportional to 13,113 and 28,654

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Solution

The third proportional to 13,113 and 28,654 is: 62,613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113 : 28,654 = 28,654 : x
  2. Step 2: Convert to fraction form
    13,113/28,654 = 28,654/x
  3. Step 3: Cross multiply
    13,113x = 28,654 × 28,654
  4. Step 4: Simplify right side
    13,113x = 821,051,716
  5. Step 5: Solve for x
    x = 821,051,716/13,113
  6. Step 6: Final answer
    x = 62,613.57

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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.