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Finding the Third Proportional to 13,520 and 28,951

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Solution

The third proportional to 13,520 and 28,951 is: 61,994.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,520 : 28,951 = 28,951 : x
  2. Step 2: Convert to fraction form
    13,520/28,951 = 28,951/x
  3. Step 3: Cross multiply
    13,520x = 28,951 × 28,951
  4. Step 4: Simplify right side
    13,520x = 838,160,401
  5. Step 5: Solve for x
    x = 838,160,401/13,520
  6. Step 6: Final answer
    x = 61,994.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.