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Finding the Third Proportional to 13,873.31 and 29,963.40

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Solution

The third proportional to 13,873.31 and 29,963.40 is: 64,714.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.31 : 29,963.40 = 29,963.40 : x
  2. Step 2: Convert to fraction form
    13,873.31/29,963.40 = 29,963.40/x
  3. Step 3: Cross multiply
    13,873.31x = 29,963.40 × 29,963.40
  4. Step 4: Simplify right side
    13,873.31x = 897,805,041.10
  5. Step 5: Solve for x
    x = 897,805,041.10/13,873.31
  6. Step 6: Final answer
    x = 64,714.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.