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Finding the Third Proportional to 37,146 and 79,476

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Solution

The third proportional to 37,146 and 79,476 is: 170,043.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,146 : 79,476 = 79,476 : x
  2. Step 2: Convert to fraction form
    37,146/79,476 = 79,476/x
  3. Step 3: Cross multiply
    37,146x = 79,476 × 79,476
  4. Step 4: Simplify right side
    37,146x = 6,316,434,576
  5. Step 5: Solve for x
    x = 6,316,434,576/37,146
  6. Step 6: Final answer
    x = 170,043.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.