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Finding the Third Proportional to 47,484 and 102,490

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Solution

The third proportional to 47,484 and 102,490 is: 221,215.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,484 : 102,490 = 102,490 : x
  2. Step 2: Convert to fraction form
    47,484/102,490 = 102,490/x
  3. Step 3: Cross multiply
    47,484x = 102,490 × 102,490
  4. Step 4: Simplify right side
    47,484x = 10,504,200,100
  5. Step 5: Solve for x
    x = 10,504,200,100/47,484
  6. Step 6: Final answer
    x = 221,215.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.