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Finding the Third Proportional to 15,383 and 32,386

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Solution

The third proportional to 15,383 and 32,386 is: 68,182.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,383 : 32,386 = 32,386 : x
  2. Step 2: Convert to fraction form
    15,383/32,386 = 32,386/x
  3. Step 3: Cross multiply
    15,383x = 32,386 × 32,386
  4. Step 4: Simplify right side
    15,383x = 1,048,852,996
  5. Step 5: Solve for x
    x = 1,048,852,996/15,383
  6. Step 6: Final answer
    x = 68,182.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.