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Finding the Third Proportional to 26,343 and 63,486

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Solution

The third proportional to 26,343 and 63,486 is: 152,999.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,343 : 63,486 = 63,486 : x
  2. Step 2: Convert to fraction form
    26,343/63,486 = 63,486/x
  3. Step 3: Cross multiply
    26,343x = 63,486 × 63,486
  4. Step 4: Simplify right side
    26,343x = 4,030,472,196
  5. Step 5: Solve for x
    x = 4,030,472,196/26,343
  6. Step 6: Final answer
    x = 152,999.74

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.