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Finding the Third Proportional to 21,411 and 30,830.63

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Solution

The third proportional to 21,411 and 30,830.63 is: 44,394.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,411 : 30,830.63 = 30,830.63 : x
  2. Step 2: Convert to fraction form
    21,411/30,830.63 = 30,830.63/x
  3. Step 3: Cross multiply
    21,411x = 30,830.63 × 30,830.63
  4. Step 4: Simplify right side
    21,411x = 950,527,437.89
  5. Step 5: Solve for x
    x = 950,527,437.89/21,411
  6. Step 6: Final answer
    x = 44,394.35

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.