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Finding the Third Proportional to 21,232.50 and 45,924

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Solution

The third proportional to 21,232.50 and 45,924 is: 99,329.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,232.50 : 45,924 = 45,924 : x
  2. Step 2: Convert to fraction form
    21,232.50/45,924 = 45,924/x
  3. Step 3: Cross multiply
    21,232.50x = 45,924 × 45,924
  4. Step 4: Simplify right side
    21,232.50x = 2,109,013,776
  5. Step 5: Solve for x
    x = 2,109,013,776/21,232.50
  6. Step 6: Final answer
    x = 99,329.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.