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Finding the Third Proportional to 10,323 and 15,458.63

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Solution

The third proportional to 10,323 and 15,458.63 is: 23,149.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323 : 15,458.63 = 15,458.63 : x
  2. Step 2: Convert to fraction form
    10,323/15,458.63 = 15,458.63/x
  3. Step 3: Cross multiply
    10,323x = 15,458.63 × 15,458.63
  4. Step 4: Simplify right side
    10,323x = 238,969,086.89
  5. Step 5: Solve for x
    x = 238,969,086.89/10,323
  6. Step 6: Final answer
    x = 23,149.19

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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.