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Finding the Third Proportional to 15,764 and 23,184

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Solution

The third proportional to 15,764 and 23,184 is: 34,096.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,764 : 23,184 = 23,184 : x
  2. Step 2: Convert to fraction form
    15,764/23,184 = 23,184/x
  3. Step 3: Cross multiply
    15,764x = 23,184 × 23,184
  4. Step 4: Simplify right side
    15,764x = 537,497,856
  5. Step 5: Solve for x
    x = 537,497,856/15,764
  6. Step 6: Final answer
    x = 34,096.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.