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Finding the Third Proportional to 7,254 and 13,410

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Solution

The third proportional to 7,254 and 13,410 is: 24,790.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,254 : 13,410 = 13,410 : x
  2. Step 2: Convert to fraction form
    7,254/13,410 = 13,410/x
  3. Step 3: Cross multiply
    7,254x = 13,410 × 13,410
  4. Step 4: Simplify right side
    7,254x = 179,828,100
  5. Step 5: Solve for x
    x = 179,828,100/7,254
  6. Step 6: Final answer
    x = 24,790.20

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.