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Finding the Third Proportional to 7,695 and 15,721.59

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Solution

The third proportional to 7,695 and 15,721.59 is: 32,120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695 : 15,721.59 = 15,721.59 : x
  2. Step 2: Convert to fraction form
    7,695/15,721.59 = 15,721.59/x
  3. Step 3: Cross multiply
    7,695x = 15,721.59 × 15,721.59
  4. Step 4: Simplify right side
    7,695x = 247,168,510.04
  5. Step 5: Solve for x
    x = 247,168,510.04/7,695
  6. Step 6: Final answer
    x = 32,120.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.