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Finding the Third Proportional to 8,225.93 and 12,412.93

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Solution

The third proportional to 8,225.93 and 12,412.93 is: 18,731.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.93 : 12,412.93 = 12,412.93 : x
  2. Step 2: Convert to fraction form
    8,225.93/12,412.93 = 12,412.93/x
  3. Step 3: Cross multiply
    8,225.93x = 12,412.93 × 12,412.93
  4. Step 4: Simplify right side
    8,225.93x = 154,080,920.40
  5. Step 5: Solve for x
    x = 154,080,920.40/8,225.93
  6. Step 6: Final answer
    x = 18,731.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.