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Finding the Third Proportional to 46,734 and 74,397

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Solution

The third proportional to 46,734 and 74,397 is: 118,434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,734 : 74,397 = 74,397 : x
  2. Step 2: Convert to fraction form
    46,734/74,397 = 74,397/x
  3. Step 3: Cross multiply
    46,734x = 74,397 × 74,397
  4. Step 4: Simplify right side
    46,734x = 5,534,913,609
  5. Step 5: Solve for x
    x = 5,534,913,609/46,734
  6. Step 6: Final answer
    x = 118,434.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.