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Finding the Third Proportional to 11,582 and 23,989

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Solution

The third proportional to 11,582 and 23,989 is: 49,686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,582 : 23,989 = 23,989 : x
  2. Step 2: Convert to fraction form
    11,582/23,989 = 23,989/x
  3. Step 3: Cross multiply
    11,582x = 23,989 × 23,989
  4. Step 4: Simplify right side
    11,582x = 575,472,121
  5. Step 5: Solve for x
    x = 575,472,121/11,582
  6. Step 6: Final answer
    x = 49,686.77

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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.