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Finding the Third Proportional to 25,157.25 and 38,829.38

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Solution

The third proportional to 25,157.25 and 38,829.38 is: 59,931.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,157.25 : 38,829.38 = 38,829.38 : x
  2. Step 2: Convert to fraction form
    25,157.25/38,829.38 = 38,829.38/x
  3. Step 3: Cross multiply
    25,157.25x = 38,829.38 × 38,829.38
  4. Step 4: Simplify right side
    25,157.25x = 1,507,720,362.89
  5. Step 5: Solve for x
    x = 1,507,720,362.89/25,157.25
  6. Step 6: Final answer
    x = 59,931.84

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.