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Finding the Third Proportional to 1,948.63 and 3,025.38

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Solution

The third proportional to 1,948.63 and 3,025.38 is: 4,697.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.63 : 3,025.38 = 3,025.38 : x
  2. Step 2: Convert to fraction form
    1,948.63/3,025.38 = 3,025.38/x
  3. Step 3: Cross multiply
    1,948.63x = 3,025.38 × 3,025.38
  4. Step 4: Simplify right side
    1,948.63x = 9,152,893.89
  5. Step 5: Solve for x
    x = 9,152,893.89/1,948.63
  6. Step 6: Final answer
    x = 4,697.10

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.