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Finding the Third Proportional to 11,407.50 and 17,064.50

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Solution

The third proportional to 11,407.50 and 17,064.50 is: 25,526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.50 : 17,064.50 = 17,064.50 : x
  2. Step 2: Convert to fraction form
    11,407.50/17,064.50 = 17,064.50/x
  3. Step 3: Cross multiply
    11,407.50x = 17,064.50 × 17,064.50
  4. Step 4: Simplify right side
    11,407.50x = 291,197,160.25
  5. Step 5: Solve for x
    x = 291,197,160.25/11,407.50
  6. Step 6: Final answer
    x = 25,526.82

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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.