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Finding the Third Proportional to 38,026 and 78,476

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Solution

The third proportional to 38,026 and 78,476 is: 161,954.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,026 : 78,476 = 78,476 : x
  2. Step 2: Convert to fraction form
    38,026/78,476 = 78,476/x
  3. Step 3: Cross multiply
    38,026x = 78,476 × 78,476
  4. Step 4: Simplify right side
    38,026x = 6,158,482,576
  5. Step 5: Solve for x
    x = 6,158,482,576/38,026
  6. Step 6: Final answer
    x = 161,954.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.