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Finding the Third Proportional to 8,345.53 and 12,825.84

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Solution

The third proportional to 8,345.53 and 12,825.84 is: 19,711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,345.53 : 12,825.84 = 12,825.84 : x
  2. Step 2: Convert to fraction form
    8,345.53/12,825.84 = 12,825.84/x
  3. Step 3: Cross multiply
    8,345.53x = 12,825.84 × 12,825.84
  4. Step 4: Simplify right side
    8,345.53x = 164,502,267.90
  5. Step 5: Solve for x
    x = 164,502,267.90/8,345.53
  6. Step 6: Final answer
    x = 19,711.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.