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Finding the Third Proportional to 9,714.94 and 15,448.22

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Solution

The third proportional to 9,714.94 and 15,448.22 is: 24,565.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.94 : 15,448.22 = 15,448.22 : x
  2. Step 2: Convert to fraction form
    9,714.94/15,448.22 = 15,448.22/x
  3. Step 3: Cross multiply
    9,714.94x = 15,448.22 × 15,448.22
  4. Step 4: Simplify right side
    9,714.94x = 238,647,462.55
  5. Step 5: Solve for x
    x = 238,647,462.55/9,714.94
  6. Step 6: Final answer
    x = 24,565.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.