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Finding the Third Proportional to 13,005 and 22,518

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Solution

The third proportional to 13,005 and 22,518 is: 38,989.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005 : 22,518 = 22,518 : x
  2. Step 2: Convert to fraction form
    13,005/22,518 = 22,518/x
  3. Step 3: Cross multiply
    13,005x = 22,518 × 22,518
  4. Step 4: Simplify right side
    13,005x = 507,060,324
  5. Step 5: Solve for x
    x = 507,060,324/13,005
  6. Step 6: Final answer
    x = 38,989.64

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.