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Finding the Third Proportional to 29,700 and 39,258

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Solution

The third proportional to 29,700 and 39,258 is: 51,891.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,700 : 39,258 = 39,258 : x
  2. Step 2: Convert to fraction form
    29,700/39,258 = 39,258/x
  3. Step 3: Cross multiply
    29,700x = 39,258 × 39,258
  4. Step 4: Simplify right side
    29,700x = 1,541,190,564
  5. Step 5: Solve for x
    x = 1,541,190,564/29,700
  6. Step 6: Final answer
    x = 51,891.94

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.