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Finding the Third Proportional to 9,203.63 and 21,904.17

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Solution

The third proportional to 9,203.63 and 21,904.17 is: 52,130.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.63 : 21,904.17 = 21,904.17 : x
  2. Step 2: Convert to fraction form
    9,203.63/21,904.17 = 21,904.17/x
  3. Step 3: Cross multiply
    9,203.63x = 21,904.17 × 21,904.17
  4. Step 4: Simplify right side
    9,203.63x = 479,792,745.53
  5. Step 5: Solve for x
    x = 479,792,745.53/9,203.63
  6. Step 6: Final answer
    x = 52,130.84

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.