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Finding the Third Proportional to 13,605 and 28,341

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Solution

The third proportional to 13,605 and 28,341 is: 59,038.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605 : 28,341 = 28,341 : x
  2. Step 2: Convert to fraction form
    13,605/28,341 = 28,341/x
  3. Step 3: Cross multiply
    13,605x = 28,341 × 28,341
  4. Step 4: Simplify right side
    13,605x = 803,212,281
  5. Step 5: Solve for x
    x = 803,212,281/13,605
  6. Step 6: Final answer
    x = 59,038.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.