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Finding the Third Proportional to 31,955 and 69,487

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Solution

The third proportional to 31,955 and 69,487 is: 151,101.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,955 : 69,487 = 69,487 : x
  2. Step 2: Convert to fraction form
    31,955/69,487 = 69,487/x
  3. Step 3: Cross multiply
    31,955x = 69,487 × 69,487
  4. Step 4: Simplify right side
    31,955x = 4,828,443,169
  5. Step 5: Solve for x
    x = 4,828,443,169/31,955
  6. Step 6: Final answer
    x = 151,101.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.