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Finding the Third Proportional to 47,428 and 71,018

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Solution

The third proportional to 47,428 and 71,018 is: 106,341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,428 : 71,018 = 71,018 : x
  2. Step 2: Convert to fraction form
    47,428/71,018 = 71,018/x
  3. Step 3: Cross multiply
    47,428x = 71,018 × 71,018
  4. Step 4: Simplify right side
    47,428x = 5,043,556,324
  5. Step 5: Solve for x
    x = 5,043,556,324/47,428
  6. Step 6: Final answer
    x = 106,341.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.