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Finding the Third Proportional to 7,418 and 8,030

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Solution

The third proportional to 7,418 and 8,030 is: 8,692.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,418 : 8,030 = 8,030 : x
  2. Step 2: Convert to fraction form
    7,418/8,030 = 8,030/x
  3. Step 3: Cross multiply
    7,418x = 8,030 × 8,030
  4. Step 4: Simplify right side
    7,418x = 64,480,900
  5. Step 5: Solve for x
    x = 64,480,900/7,418
  6. Step 6: Final answer
    x = 8,692.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.