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Finding the Third Proportional to 29,599.50 and 63,411

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Solution

The third proportional to 29,599.50 and 63,411 is: 135,845.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,599.50 : 63,411 = 63,411 : x
  2. Step 2: Convert to fraction form
    29,599.50/63,411 = 63,411/x
  3. Step 3: Cross multiply
    29,599.50x = 63,411 × 63,411
  4. Step 4: Simplify right side
    29,599.50x = 4,020,954,921
  5. Step 5: Solve for x
    x = 4,020,954,921/29,599.50
  6. Step 6: Final answer
    x = 135,845.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.