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Finding the Third Proportional to 10,094.63 and 15,494.63

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Solution

The third proportional to 10,094.63 and 15,494.63 is: 23,783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.63 : 15,494.63 = 15,494.63 : x
  2. Step 2: Convert to fraction form
    10,094.63/15,494.63 = 15,494.63/x
  3. Step 3: Cross multiply
    10,094.63x = 15,494.63 × 15,494.63
  4. Step 4: Simplify right side
    10,094.63x = 240,083,403.89
  5. Step 5: Solve for x
    x = 240,083,403.89/10,094.63
  6. Step 6: Final answer
    x = 23,783.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.