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Finding the Third Proportional to 13,004 and 18,534

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Solution

The third proportional to 13,004 and 18,534 is: 26,415.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004 : 18,534 = 18,534 : x
  2. Step 2: Convert to fraction form
    13,004/18,534 = 18,534/x
  3. Step 3: Cross multiply
    13,004x = 18,534 × 18,534
  4. Step 4: Simplify right side
    13,004x = 343,509,156
  5. Step 5: Solve for x
    x = 343,509,156/13,004
  6. Step 6: Final answer
    x = 26,415.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.