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Finding the Third Proportional to 7,342 and 11,015

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Solution

The third proportional to 7,342 and 11,015 is: 16,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342 : 11,015 = 11,015 : x
  2. Step 2: Convert to fraction form
    7,342/11,015 = 11,015/x
  3. Step 3: Cross multiply
    7,342x = 11,015 × 11,015
  4. Step 4: Simplify right side
    7,342x = 121,330,225
  5. Step 5: Solve for x
    x = 121,330,225/7,342
  6. Step 6: Final answer
    x = 16,525.50

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.