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Finding the Third Proportional to 7,580.25 and 14,064.75

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Solution

The third proportional to 7,580.25 and 14,064.75 is: 26,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.25 : 14,064.75 = 14,064.75 : x
  2. Step 2: Convert to fraction form
    7,580.25/14,064.75 = 14,064.75/x
  3. Step 3: Cross multiply
    7,580.25x = 14,064.75 × 14,064.75
  4. Step 4: Simplify right side
    7,580.25x = 197,817,192.56
  5. Step 5: Solve for x
    x = 197,817,192.56/7,580.25
  6. Step 6: Final answer
    x = 26,096.39

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.