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Finding the Third Proportional to 21,810 and 47,588

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Solution

The third proportional to 21,810 and 47,588 is: 103,833.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,810 : 47,588 = 47,588 : x
  2. Step 2: Convert to fraction form
    21,810/47,588 = 47,588/x
  3. Step 3: Cross multiply
    21,810x = 47,588 × 47,588
  4. Step 4: Simplify right side
    21,810x = 2,264,617,744
  5. Step 5: Solve for x
    x = 2,264,617,744/21,810
  6. Step 6: Final answer
    x = 103,833.92

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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.