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Finding the Third Proportional to 14,004 and 29,538

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Solution

The third proportional to 14,004 and 29,538 is: 62,303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,004 : 29,538 = 29,538 : x
  2. Step 2: Convert to fraction form
    14,004/29,538 = 29,538/x
  3. Step 3: Cross multiply
    14,004x = 29,538 × 29,538
  4. Step 4: Simplify right side
    14,004x = 872,493,444
  5. Step 5: Solve for x
    x = 872,493,444/14,004
  6. Step 6: Final answer
    x = 62,303.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.