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Finding the Third Proportional to 10,415.75 and 14,580.75

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Solution

The third proportional to 10,415.75 and 14,580.75 is: 20,411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.75 : 14,580.75 = 14,580.75 : x
  2. Step 2: Convert to fraction form
    10,415.75/14,580.75 = 14,580.75/x
  3. Step 3: Cross multiply
    10,415.75x = 14,580.75 × 14,580.75
  4. Step 4: Simplify right side
    10,415.75x = 212,598,270.56
  5. Step 5: Solve for x
    x = 212,598,270.56/10,415.75
  6. Step 6: Final answer
    x = 20,411.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.