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Finding the Third Proportional to 9,845.77 and 15,133.63

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Solution

The third proportional to 9,845.77 and 15,133.63 is: 23,261.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,845.77 : 15,133.63 = 15,133.63 : x
  2. Step 2: Convert to fraction form
    9,845.77/15,133.63 = 15,133.63/x
  3. Step 3: Cross multiply
    9,845.77x = 15,133.63 × 15,133.63
  4. Step 4: Simplify right side
    9,845.77x = 229,026,812.55
  5. Step 5: Solve for x
    x = 229,026,812.55/9,845.77
  6. Step 6: Final answer
    x = 23,261.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.