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Finding the Third Proportional to 9,116 and 14,415.50

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Solution

The third proportional to 9,116 and 14,415.50 is: 22,795.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116 : 14,415.50 = 14,415.50 : x
  2. Step 2: Convert to fraction form
    9,116/14,415.50 = 14,415.50/x
  3. Step 3: Cross multiply
    9,116x = 14,415.50 × 14,415.50
  4. Step 4: Simplify right side
    9,116x = 207,806,640.25
  5. Step 5: Solve for x
    x = 207,806,640.25/9,116
  6. Step 6: Final answer
    x = 22,795.81

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.