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Finding the Third Proportional to 13,973 and 30,403

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Solution

The third proportional to 13,973 and 30,403 is: 66,152.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,973 : 30,403 = 30,403 : x
  2. Step 2: Convert to fraction form
    13,973/30,403 = 30,403/x
  3. Step 3: Cross multiply
    13,973x = 30,403 × 30,403
  4. Step 4: Simplify right side
    13,973x = 924,342,409
  5. Step 5: Solve for x
    x = 924,342,409/13,973
  6. Step 6: Final answer
    x = 66,152.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.