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Finding the Third Proportional to 39,319 and 59,005

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Solution

The third proportional to 39,319 and 59,005 is: 88,547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,319 : 59,005 = 59,005 : x
  2. Step 2: Convert to fraction form
    39,319/59,005 = 59,005/x
  3. Step 3: Cross multiply
    39,319x = 59,005 × 59,005
  4. Step 4: Simplify right side
    39,319x = 3,481,590,025
  5. Step 5: Solve for x
    x = 3,481,590,025/39,319
  6. Step 6: Final answer
    x = 88,547.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.