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Finding the Third Proportional to 29,703 and 63,258

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Solution

The third proportional to 29,703 and 63,258 is: 134,719.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,703 : 63,258 = 63,258 : x
  2. Step 2: Convert to fraction form
    29,703/63,258 = 63,258/x
  3. Step 3: Cross multiply
    29,703x = 63,258 × 63,258
  4. Step 4: Simplify right side
    29,703x = 4,001,574,564
  5. Step 5: Solve for x
    x = 4,001,574,564/29,703
  6. Step 6: Final answer
    x = 134,719.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.