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Finding the Third Proportional to 7,011 and 9,160.50

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Solution

The third proportional to 7,011 and 9,160.50 is: 11,969.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011 : 9,160.50 = 9,160.50 : x
  2. Step 2: Convert to fraction form
    7,011/9,160.50 = 9,160.50/x
  3. Step 3: Cross multiply
    7,011x = 9,160.50 × 9,160.50
  4. Step 4: Simplify right side
    7,011x = 83,914,760.25
  5. Step 5: Solve for x
    x = 83,914,760.25/7,011
  6. Step 6: Final answer
    x = 11,969.01

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.