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Finding the Third Proportional to 30,559.78 and 64,438.03

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Solution

The third proportional to 30,559.78 and 64,438.03 is: 135,873.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,559.78 : 64,438.03 = 64,438.03 : x
  2. Step 2: Convert to fraction form
    30,559.78/64,438.03 = 64,438.03/x
  3. Step 3: Cross multiply
    30,559.78x = 64,438.03 × 64,438.03
  4. Step 4: Simplify right side
    30,559.78x = 4,152,259,871.38
  5. Step 5: Solve for x
    x = 4,152,259,871.38/30,559.78
  6. Step 6: Final answer
    x = 135,873.35

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.