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Finding the Third Proportional to 8,045.58 and 17,128.65

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Solution

The third proportional to 8,045.58 and 17,128.65 is: 36,466.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,045.58 : 17,128.65 = 17,128.65 : x
  2. Step 2: Convert to fraction form
    8,045.58/17,128.65 = 17,128.65/x
  3. Step 3: Cross multiply
    8,045.58x = 17,128.65 × 17,128.65
  4. Step 4: Simplify right side
    8,045.58x = 293,390,731.11
  5. Step 5: Solve for x
    x = 293,390,731.11/8,045.58
  6. Step 6: Final answer
    x = 36,466.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.