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Finding the Third Proportional to 10,400.63 and 14,563.13

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Solution

The third proportional to 10,400.63 and 14,563.13 is: 20,391.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.63 : 14,563.13 = 14,563.13 : x
  2. Step 2: Convert to fraction form
    10,400.63/14,563.13 = 14,563.13/x
  3. Step 3: Cross multiply
    10,400.63x = 14,563.13 × 14,563.13
  4. Step 4: Simplify right side
    10,400.63x = 212,084,609.77
  5. Step 5: Solve for x
    x = 212,084,609.77/10,400.63
  6. Step 6: Final answer
    x = 20,391.53

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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.