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Finding the Third Proportional to 21,588 and 35,460

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Solution

The third proportional to 21,588 and 35,460 is: 58,245.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,588 : 35,460 = 35,460 : x
  2. Step 2: Convert to fraction form
    21,588/35,460 = 35,460/x
  3. Step 3: Cross multiply
    21,588x = 35,460 × 35,460
  4. Step 4: Simplify right side
    21,588x = 1,257,411,600
  5. Step 5: Solve for x
    x = 1,257,411,600/21,588
  6. Step 6: Final answer
    x = 58,245.86

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.