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Finding the Third Proportional to 13,307 and 28,829

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Solution

The third proportional to 13,307 and 28,829 is: 62,456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,307 : 28,829 = 28,829 : x
  2. Step 2: Convert to fraction form
    13,307/28,829 = 28,829/x
  3. Step 3: Cross multiply
    13,307x = 28,829 × 28,829
  4. Step 4: Simplify right side
    13,307x = 831,111,241
  5. Step 5: Solve for x
    x = 831,111,241/13,307
  6. Step 6: Final answer
    x = 62,456.70

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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.