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Finding the Third Proportional to 9,714.94 and 14,848.31

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Solution

The third proportional to 9,714.94 and 14,848.31 is: 22,694.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.94 : 14,848.31 = 14,848.31 : x
  2. Step 2: Convert to fraction form
    9,714.94/14,848.31 = 14,848.31/x
  3. Step 3: Cross multiply
    9,714.94x = 14,848.31 × 14,848.31
  4. Step 4: Simplify right side
    9,714.94x = 220,472,384.10
  5. Step 5: Solve for x
    x = 220,472,384.10/9,714.94
  6. Step 6: Final answer
    x = 22,694.16

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.