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Finding the Third Proportional to 13,604 and 28,658

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Solution

The third proportional to 13,604 and 28,658 is: 60,370.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,604 : 28,658 = 28,658 : x
  2. Step 2: Convert to fraction form
    13,604/28,658 = 28,658/x
  3. Step 3: Cross multiply
    13,604x = 28,658 × 28,658
  4. Step 4: Simplify right side
    13,604x = 821,280,964
  5. Step 5: Solve for x
    x = 821,280,964/13,604
  6. Step 6: Final answer
    x = 60,370.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.