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Finding the Third Proportional to 22,390 and 47,083

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Solution

The third proportional to 22,390 and 47,083 is: 99,008.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,390 : 47,083 = 47,083 : x
  2. Step 2: Convert to fraction form
    22,390/47,083 = 47,083/x
  3. Step 3: Cross multiply
    22,390x = 47,083 × 47,083
  4. Step 4: Simplify right side
    22,390x = 2,216,808,889
  5. Step 5: Solve for x
    x = 2,216,808,889/22,390
  6. Step 6: Final answer
    x = 99,008.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.