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Finding the Third Proportional to 30,435.75 and 64,903.78

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Solution

The third proportional to 30,435.75 and 64,903.78 is: 138,406.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,435.75 : 64,903.78 = 64,903.78 : x
  2. Step 2: Convert to fraction form
    30,435.75/64,903.78 = 64,903.78/x
  3. Step 3: Cross multiply
    30,435.75x = 64,903.78 × 64,903.78
  4. Step 4: Simplify right side
    30,435.75x = 4,212,500,820.55
  5. Step 5: Solve for x
    x = 4,212,500,820.55/30,435.75
  6. Step 6: Final answer
    x = 138,406.34

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.