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Finding the Third Proportional to 15,335 and 32,020

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Solution

The third proportional to 15,335 and 32,020 is: 66,858.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,335 : 32,020 = 32,020 : x
  2. Step 2: Convert to fraction form
    15,335/32,020 = 32,020/x
  3. Step 3: Cross multiply
    15,335x = 32,020 × 32,020
  4. Step 4: Simplify right side
    15,335x = 1,025,280,400
  5. Step 5: Solve for x
    x = 1,025,280,400/15,335
  6. Step 6: Final answer
    x = 66,858.85

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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.