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Finding the Third Proportional to 15,319 and 32,018

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Solution

The third proportional to 15,319 and 32,018 is: 66,920.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,319 : 32,018 = 32,018 : x
  2. Step 2: Convert to fraction form
    15,319/32,018 = 32,018/x
  3. Step 3: Cross multiply
    15,319x = 32,018 × 32,018
  4. Step 4: Simplify right side
    15,319x = 1,025,152,324
  5. Step 5: Solve for x
    x = 1,025,152,324/15,319
  6. Step 6: Final answer
    x = 66,920.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.