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Finding the Third Proportional to 31,428 and 71,073

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Solution

The third proportional to 31,428 and 71,073 is: 160,728.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,428 : 71,073 = 71,073 : x
  2. Step 2: Convert to fraction form
    31,428/71,073 = 71,073/x
  3. Step 3: Cross multiply
    31,428x = 71,073 × 71,073
  4. Step 4: Simplify right side
    31,428x = 5,051,371,329
  5. Step 5: Solve for x
    x = 5,051,371,329/31,428
  6. Step 6: Final answer
    x = 160,728.37

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.