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Finding the Third Proportional to 21,352 and 34,110

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Solution

The third proportional to 21,352 and 34,110 is: 54,491.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,352 : 34,110 = 34,110 : x
  2. Step 2: Convert to fraction form
    21,352/34,110 = 34,110/x
  3. Step 3: Cross multiply
    21,352x = 34,110 × 34,110
  4. Step 4: Simplify right side
    21,352x = 1,163,492,100
  5. Step 5: Solve for x
    x = 1,163,492,100/21,352
  6. Step 6: Final answer
    x = 54,491.01

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.