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Finding the Third Proportional to 13,963.64 and 30,437.02

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Solution

The third proportional to 13,963.64 and 30,437.02 is: 66,344.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,963.64 : 30,437.02 = 30,437.02 : x
  2. Step 2: Convert to fraction form
    13,963.64/30,437.02 = 30,437.02/x
  3. Step 3: Cross multiply
    13,963.64x = 30,437.02 × 30,437.02
  4. Step 4: Simplify right side
    13,963.64x = 926,411,920.16
  5. Step 5: Solve for x
    x = 926,411,920.16/13,963.64
  6. Step 6: Final answer
    x = 66,344.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.