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Finding the Third Proportional to 9,724 and 23,518

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Solution

The third proportional to 9,724 and 23,518 is: 56,879.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724 : 23,518 = 23,518 : x
  2. Step 2: Convert to fraction form
    9,724/23,518 = 23,518/x
  3. Step 3: Cross multiply
    9,724x = 23,518 × 23,518
  4. Step 4: Simplify right side
    9,724x = 553,096,324
  5. Step 5: Solve for x
    x = 553,096,324/9,724
  6. Step 6: Final answer
    x = 56,879.51

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.