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Finding the Third Proportional to 5,083 and 7,866.50

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Solution

The third proportional to 5,083 and 7,866.50 is: 12,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,083 : 7,866.50 = 7,866.50 : x
  2. Step 2: Convert to fraction form
    5,083/7,866.50 = 7,866.50/x
  3. Step 3: Cross multiply
    5,083x = 7,866.50 × 7,866.50
  4. Step 4: Simplify right side
    5,083x = 61,881,822.25
  5. Step 5: Solve for x
    x = 61,881,822.25/5,083
  6. Step 6: Final answer
    x = 12,174.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.