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Finding the Third Proportional to 7,374 and 14,028

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Solution

The third proportional to 7,374 and 14,028 is: 26,686.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,374 : 14,028 = 14,028 : x
  2. Step 2: Convert to fraction form
    7,374/14,028 = 14,028/x
  3. Step 3: Cross multiply
    7,374x = 14,028 × 14,028
  4. Step 4: Simplify right side
    7,374x = 196,784,784
  5. Step 5: Solve for x
    x = 196,784,784/7,374
  6. Step 6: Final answer
    x = 26,686.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.