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Finding the Third Proportional to 25,152.19 and 34,037.72

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Solution

The third proportional to 25,152.19 and 34,037.72 is: 46,062.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,152.19 : 34,037.72 = 34,037.72 : x
  2. Step 2: Convert to fraction form
    25,152.19/34,037.72 = 34,037.72/x
  3. Step 3: Cross multiply
    25,152.19x = 34,037.72 × 34,037.72
  4. Step 4: Simplify right side
    25,152.19x = 1,158,566,297.70
  5. Step 5: Solve for x
    x = 1,158,566,297.70/25,152.19
  6. Step 6: Final answer
    x = 46,062.25

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.