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Finding the Third Proportional to 7,700 and 11,382

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Solution

The third proportional to 7,700 and 11,382 is: 16,824.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700 : 11,382 = 11,382 : x
  2. Step 2: Convert to fraction form
    7,700/11,382 = 11,382/x
  3. Step 3: Cross multiply
    7,700x = 11,382 × 11,382
  4. Step 4: Simplify right side
    7,700x = 129,549,924
  5. Step 5: Solve for x
    x = 129,549,924/7,700
  6. Step 6: Final answer
    x = 16,824.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.