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Finding the Third Proportional to 1,985.63 and 4,616.58

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Solution

The third proportional to 1,985.63 and 4,616.58 is: 10,733.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.63 : 4,616.58 = 4,616.58 : x
  2. Step 2: Convert to fraction form
    1,985.63/4,616.58 = 4,616.58/x
  3. Step 3: Cross multiply
    1,985.63x = 4,616.58 × 4,616.58
  4. Step 4: Simplify right side
    1,985.63x = 21,312,793.58
  5. Step 5: Solve for x
    x = 21,312,793.58/1,985.63
  6. Step 6: Final answer
    x = 10,733.54

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.