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Finding the Third Proportional to 8,460 and 20,358

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Solution

The third proportional to 8,460 and 20,358 is: 48,989.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460 : 20,358 = 20,358 : x
  2. Step 2: Convert to fraction form
    8,460/20,358 = 20,358/x
  3. Step 3: Cross multiply
    8,460x = 20,358 × 20,358
  4. Step 4: Simplify right side
    8,460x = 414,448,164
  5. Step 5: Solve for x
    x = 414,448,164/8,460
  6. Step 6: Final answer
    x = 48,989.14

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.