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Finding the Third Proportional to 7,414 and 16,470

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Solution

The third proportional to 7,414 and 16,470 is: 36,587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414 : 16,470 = 16,470 : x
  2. Step 2: Convert to fraction form
    7,414/16,470 = 16,470/x
  3. Step 3: Cross multiply
    7,414x = 16,470 × 16,470
  4. Step 4: Simplify right side
    7,414x = 271,260,900
  5. Step 5: Solve for x
    x = 271,260,900/7,414
  6. Step 6: Final answer
    x = 36,587.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.