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Finding the Third Proportional to 7,630 and 16,784

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Solution

The third proportional to 7,630 and 16,784 is: 36,920.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630 : 16,784 = 16,784 : x
  2. Step 2: Convert to fraction form
    7,630/16,784 = 16,784/x
  3. Step 3: Cross multiply
    7,630x = 16,784 × 16,784
  4. Step 4: Simplify right side
    7,630x = 281,702,656
  5. Step 5: Solve for x
    x = 281,702,656/7,630
  6. Step 6: Final answer
    x = 36,920.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.