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Finding the Third Proportional to 9,627 and 13,702.50

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Solution

The third proportional to 9,627 and 13,702.50 is: 19,503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627 : 13,702.50 = 13,702.50 : x
  2. Step 2: Convert to fraction form
    9,627/13,702.50 = 13,702.50/x
  3. Step 3: Cross multiply
    9,627x = 13,702.50 × 13,702.50
  4. Step 4: Simplify right side
    9,627x = 187,758,506.25
  5. Step 5: Solve for x
    x = 187,758,506.25/9,627
  6. Step 6: Final answer
    x = 19,503.32

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.