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Finding the Third Proportional to 46,030 and 68,397

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Solution

The third proportional to 46,030 and 68,397 is: 101,632.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,030 : 68,397 = 68,397 : x
  2. Step 2: Convert to fraction form
    46,030/68,397 = 68,397/x
  3. Step 3: Cross multiply
    46,030x = 68,397 × 68,397
  4. Step 4: Simplify right side
    46,030x = 4,678,149,609
  5. Step 5: Solve for x
    x = 4,678,149,609/46,030
  6. Step 6: Final answer
    x = 101,632.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.