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Finding the Third Proportional to 15,490 and 33,463

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Solution

The third proportional to 15,490 and 33,463 is: 72,290.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,490 : 33,463 = 33,463 : x
  2. Step 2: Convert to fraction form
    15,490/33,463 = 33,463/x
  3. Step 3: Cross multiply
    15,490x = 33,463 × 33,463
  4. Step 4: Simplify right side
    15,490x = 1,119,772,369
  5. Step 5: Solve for x
    x = 1,119,772,369/15,490
  6. Step 6: Final answer
    x = 72,290.02

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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.