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Finding the Third Proportional to 19,458 and 30,403

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Solution

The third proportional to 19,458 and 30,403 is: 47,504.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,458 : 30,403 = 30,403 : x
  2. Step 2: Convert to fraction form
    19,458/30,403 = 30,403/x
  3. Step 3: Cross multiply
    19,458x = 30,403 × 30,403
  4. Step 4: Simplify right side
    19,458x = 924,342,409
  5. Step 5: Solve for x
    x = 924,342,409/19,458
  6. Step 6: Final answer
    x = 47,504.49

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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.