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Finding the Third Proportional to 30,090 and 46,801

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Solution

The third proportional to 30,090 and 46,801 is: 72,792.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,090 : 46,801 = 46,801 : x
  2. Step 2: Convert to fraction form
    30,090/46,801 = 46,801/x
  3. Step 3: Cross multiply
    30,090x = 46,801 × 46,801
  4. Step 4: Simplify right side
    30,090x = 2,190,333,601
  5. Step 5: Solve for x
    x = 2,190,333,601/30,090
  6. Step 6: Final answer
    x = 72,792.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.