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Finding the Third Proportional to 10,014.50 and 14,505.50

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Solution

The third proportional to 10,014.50 and 14,505.50 is: 21,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.50 : 14,505.50 = 14,505.50 : x
  2. Step 2: Convert to fraction form
    10,014.50/14,505.50 = 14,505.50/x
  3. Step 3: Cross multiply
    10,014.50x = 14,505.50 × 14,505.50
  4. Step 4: Simplify right side
    10,014.50x = 210,409,530.25
  5. Step 5: Solve for x
    x = 210,409,530.25/10,014.50
  6. Step 6: Final answer
    x = 21,010.49

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.