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Finding the Third Proportional to 9,831.75 and 15,575.44

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Solution

The third proportional to 9,831.75 and 15,575.44 is: 24,674.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.75 : 15,575.44 = 15,575.44 : x
  2. Step 2: Convert to fraction form
    9,831.75/15,575.44 = 15,575.44/x
  3. Step 3: Cross multiply
    9,831.75x = 15,575.44 × 15,575.44
  4. Step 4: Simplify right side
    9,831.75x = 242,594,253.32
  5. Step 5: Solve for x
    x = 242,594,253.32/9,831.75
  6. Step 6: Final answer
    x = 24,674.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.