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Finding the Third Proportional to 39,595 and 61,986

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Solution

The third proportional to 39,595 and 61,986 is: 97,039.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,595 : 61,986 = 61,986 : x
  2. Step 2: Convert to fraction form
    39,595/61,986 = 61,986/x
  3. Step 3: Cross multiply
    39,595x = 61,986 × 61,986
  4. Step 4: Simplify right side
    39,595x = 3,842,264,196
  5. Step 5: Solve for x
    x = 3,842,264,196/39,595
  6. Step 6: Final answer
    x = 97,039.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.