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Finding the Third Proportional to 9,391 and 12,648.50

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Solution

The third proportional to 9,391 and 12,648.50 is: 17,035.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391 : 12,648.50 = 12,648.50 : x
  2. Step 2: Convert to fraction form
    9,391/12,648.50 = 12,648.50/x
  3. Step 3: Cross multiply
    9,391x = 12,648.50 × 12,648.50
  4. Step 4: Simplify right side
    9,391x = 159,984,552.25
  5. Step 5: Solve for x
    x = 159,984,552.25/9,391
  6. Step 6: Final answer
    x = 17,035.94

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.