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Finding the Third Proportional to 25,482.09 and 42,114.94

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Solution

The third proportional to 25,482.09 and 42,114.94 is: 69,604.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,482.09 : 42,114.94 = 42,114.94 : x
  2. Step 2: Convert to fraction form
    25,482.09/42,114.94 = 42,114.94/x
  3. Step 3: Cross multiply
    25,482.09x = 42,114.94 × 42,114.94
  4. Step 4: Simplify right side
    25,482.09x = 1,773,667,960.63
  5. Step 5: Solve for x
    x = 1,773,667,960.63/25,482.09
  6. Step 6: Final answer
    x = 69,604.48

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.