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Finding the Third Proportional to 5,117 and 7,901.50

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Solution

The third proportional to 5,117 and 7,901.50 is: 12,201.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117 : 7,901.50 = 7,901.50 : x
  2. Step 2: Convert to fraction form
    5,117/7,901.50 = 7,901.50/x
  3. Step 3: Cross multiply
    5,117x = 7,901.50 × 7,901.50
  4. Step 4: Simplify right side
    5,117x = 62,433,702.25
  5. Step 5: Solve for x
    x = 62,433,702.25/5,117
  6. Step 6: Final answer
    x = 12,201.23

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.