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Finding the Third Proportional to 9,585.21 and 22,963.50

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Solution

The third proportional to 9,585.21 and 22,963.50 is: 55,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.21 : 22,963.50 = 22,963.50 : x
  2. Step 2: Convert to fraction form
    9,585.21/22,963.50 = 22,963.50/x
  3. Step 3: Cross multiply
    9,585.21x = 22,963.50 × 22,963.50
  4. Step 4: Simplify right side
    9,585.21x = 527,322,332.25
  5. Step 5: Solve for x
    x = 527,322,332.25/9,585.21
  6. Step 6: Final answer
    x = 55,014.16

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.