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Finding the Third Proportional to 1,985 and 4,595

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Solution

The third proportional to 1,985 and 4,595 is: 10,636.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985 : 4,595 = 4,595 : x
  2. Step 2: Convert to fraction form
    1,985/4,595 = 4,595/x
  3. Step 3: Cross multiply
    1,985x = 4,595 × 4,595
  4. Step 4: Simplify right side
    1,985x = 21,114,025
  5. Step 5: Solve for x
    x = 21,114,025/1,985
  6. Step 6: Final answer
    x = 10,636.79

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.