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Finding the Third Proportional to 1,465 and 1,900

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Solution

The third proportional to 1,465 and 1,900 is: 2,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465 : 1,900 = 1,900 : x
  2. Step 2: Convert to fraction form
    1,465/1,900 = 1,900/x
  3. Step 3: Cross multiply
    1,465x = 1,900 × 1,900
  4. Step 4: Simplify right side
    1,465x = 3,610,000
  5. Step 5: Solve for x
    x = 3,610,000/1,465
  6. Step 6: Final answer
    x = 2,464.16

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.