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Finding the Third Proportional to 13,774 and 29,574

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Solution

The third proportional to 13,774 and 29,574 is: 63,498.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774 : 29,574 = 29,574 : x
  2. Step 2: Convert to fraction form
    13,774/29,574 = 29,574/x
  3. Step 3: Cross multiply
    13,774x = 29,574 × 29,574
  4. Step 4: Simplify right side
    13,774x = 874,621,476
  5. Step 5: Solve for x
    x = 874,621,476/13,774
  6. Step 6: Final answer
    x = 63,498.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.