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Finding the Third Proportional to 15,363 and 33,506

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Solution

The third proportional to 15,363 and 33,506 is: 73,075.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,363 : 33,506 = 33,506 : x
  2. Step 2: Convert to fraction form
    15,363/33,506 = 33,506/x
  3. Step 3: Cross multiply
    15,363x = 33,506 × 33,506
  4. Step 4: Simplify right side
    15,363x = 1,122,652,036
  5. Step 5: Solve for x
    x = 1,122,652,036/15,363
  6. Step 6: Final answer
    x = 73,075.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.