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Finding the Third Proportional to 23,004 and 47,478

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Solution

The third proportional to 23,004 and 47,478 is: 97,989.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,004 : 47,478 = 47,478 : x
  2. Step 2: Convert to fraction form
    23,004/47,478 = 47,478/x
  3. Step 3: Cross multiply
    23,004x = 47,478 × 47,478
  4. Step 4: Simplify right side
    23,004x = 2,254,160,484
  5. Step 5: Solve for x
    x = 2,254,160,484/23,004
  6. Step 6: Final answer
    x = 97,989.94

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.