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Finding the Third Proportional to 2,985.19 and 4,575.66

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Solution

The third proportional to 2,985.19 and 4,575.66 is: 7,013.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.19 : 4,575.66 = 4,575.66 : x
  2. Step 2: Convert to fraction form
    2,985.19/4,575.66 = 4,575.66/x
  3. Step 3: Cross multiply
    2,985.19x = 4,575.66 × 4,575.66
  4. Step 4: Simplify right side
    2,985.19x = 20,936,630.12
  5. Step 5: Solve for x
    x = 20,936,630.12/2,985.19
  6. Step 6: Final answer
    x = 7,013.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.