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Finding the Third Proportional to 47,580 and 103,638

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Solution

The third proportional to 47,580 and 103,638 is: 225,742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,580 : 103,638 = 103,638 : x
  2. Step 2: Convert to fraction form
    47,580/103,638 = 103,638/x
  3. Step 3: Cross multiply
    47,580x = 103,638 × 103,638
  4. Step 4: Simplify right side
    47,580x = 10,740,835,044
  5. Step 5: Solve for x
    x = 10,740,835,044/47,580
  6. Step 6: Final answer
    x = 225,742.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.