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Finding the Third Proportional to 15,360 and 31,800

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Solution

The third proportional to 15,360 and 31,800 is: 65,835.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,360 : 31,800 = 31,800 : x
  2. Step 2: Convert to fraction form
    15,360/31,800 = 31,800/x
  3. Step 3: Cross multiply
    15,360x = 31,800 × 31,800
  4. Step 4: Simplify right side
    15,360x = 1,011,240,000
  5. Step 5: Solve for x
    x = 1,011,240,000/15,360
  6. Step 6: Final answer
    x = 65,835.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.