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Finding the Third Proportional to 13,702.50 and 29,538

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Solution

The third proportional to 13,702.50 and 29,538 is: 63,674.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.50 : 29,538 = 29,538 : x
  2. Step 2: Convert to fraction form
    13,702.50/29,538 = 29,538/x
  3. Step 3: Cross multiply
    13,702.50x = 29,538 × 29,538
  4. Step 4: Simplify right side
    13,702.50x = 872,493,444
  5. Step 5: Solve for x
    x = 872,493,444/13,702.50
  6. Step 6: Final answer
    x = 63,674.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.