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Finding the Third Proportional to 7,616 and 13,184

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Solution

The third proportional to 7,616 and 13,184 is: 22,822.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616 : 13,184 = 13,184 : x
  2. Step 2: Convert to fraction form
    7,616/13,184 = 13,184/x
  3. Step 3: Cross multiply
    7,616x = 13,184 × 13,184
  4. Step 4: Simplify right side
    7,616x = 173,817,856
  5. Step 5: Solve for x
    x = 173,817,856/7,616
  6. Step 6: Final answer
    x = 22,822.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.