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Finding the Third Proportional to 13,621.50 and 29,574

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Solution

The third proportional to 13,621.50 and 29,574 is: 64,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,621.50 : 29,574 = 29,574 : x
  2. Step 2: Convert to fraction form
    13,621.50/29,574 = 29,574/x
  3. Step 3: Cross multiply
    13,621.50x = 29,574 × 29,574
  4. Step 4: Simplify right side
    13,621.50x = 874,621,476
  5. Step 5: Solve for x
    x = 874,621,476/13,621.50
  6. Step 6: Final answer
    x = 64,208.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.