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Finding the Third Proportional to 9,878.63 and 11,714.63

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Solution

The third proportional to 9,878.63 and 11,714.63 is: 13,891.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.63 : 11,714.63 = 11,714.63 : x
  2. Step 2: Convert to fraction form
    9,878.63/11,714.63 = 11,714.63/x
  3. Step 3: Cross multiply
    9,878.63x = 11,714.63 × 11,714.63
  4. Step 4: Simplify right side
    9,878.63x = 137,232,438.89
  5. Step 5: Solve for x
    x = 137,232,438.89/9,878.63
  6. Step 6: Final answer
    x = 13,891.86

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.