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Finding the Third Proportional to 23,258 and 47,752

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Solution

The third proportional to 23,258 and 47,752 is: 98,041.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,258 : 47,752 = 47,752 : x
  2. Step 2: Convert to fraction form
    23,258/47,752 = 47,752/x
  3. Step 3: Cross multiply
    23,258x = 47,752 × 47,752
  4. Step 4: Simplify right side
    23,258x = 2,280,253,504
  5. Step 5: Solve for x
    x = 2,280,253,504/23,258
  6. Step 6: Final answer
    x = 98,041.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.