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Finding the Third Proportional to 9,094.78 and 14,602.78

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Solution

The third proportional to 9,094.78 and 14,602.78 is: 23,446.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.78 : 14,602.78 = 14,602.78 : x
  2. Step 2: Convert to fraction form
    9,094.78/14,602.78 = 14,602.78/x
  3. Step 3: Cross multiply
    9,094.78x = 14,602.78 × 14,602.78
  4. Step 4: Simplify right side
    9,094.78x = 213,241,220.24
  5. Step 5: Solve for x
    x = 213,241,220.24/9,094.78
  6. Step 6: Final answer
    x = 23,446.55

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.