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Finding the Third Proportional to 22,383 and 47,070

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Solution

The third proportional to 22,383 and 47,070 is: 98,985.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,383 : 47,070 = 47,070 : x
  2. Step 2: Convert to fraction form
    22,383/47,070 = 47,070/x
  3. Step 3: Cross multiply
    22,383x = 47,070 × 47,070
  4. Step 4: Simplify right side
    22,383x = 2,215,584,900
  5. Step 5: Solve for x
    x = 2,215,584,900/22,383
  6. Step 6: Final answer
    x = 98,985.16

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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.