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Finding the Third Proportional to 25,114.11 and 34,200.67

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Solution

The third proportional to 25,114.11 and 34,200.67 is: 46,574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,114.11 : 34,200.67 = 34,200.67 : x
  2. Step 2: Convert to fraction form
    25,114.11/34,200.67 = 34,200.67/x
  3. Step 3: Cross multiply
    25,114.11x = 34,200.67 × 34,200.67
  4. Step 4: Simplify right side
    25,114.11x = 1,169,685,689.51
  5. Step 5: Solve for x
    x = 1,169,685,689.51/25,114.11
  6. Step 6: Final answer
    x = 46,574.84

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.