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Finding the Third Proportional to 9,023.63 and 13,460.63

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Solution

The third proportional to 9,023.63 and 13,460.63 is: 20,079.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.63 : 13,460.63 = 13,460.63 : x
  2. Step 2: Convert to fraction form
    9,023.63/13,460.63 = 13,460.63/x
  3. Step 3: Cross multiply
    9,023.63x = 13,460.63 × 13,460.63
  4. Step 4: Simplify right side
    9,023.63x = 181,188,425.39
  5. Step 5: Solve for x
    x = 181,188,425.39/9,023.63
  6. Step 6: Final answer
    x = 20,079.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.