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Finding the Third Proportional to 21,572 and 45,715

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Solution

The third proportional to 21,572 and 45,715 is: 96,878.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,572 : 45,715 = 45,715 : x
  2. Step 2: Convert to fraction form
    21,572/45,715 = 45,715/x
  3. Step 3: Cross multiply
    21,572x = 45,715 × 45,715
  4. Step 4: Simplify right side
    21,572x = 2,089,861,225
  5. Step 5: Solve for x
    x = 2,089,861,225/21,572
  6. Step 6: Final answer
    x = 96,878.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.