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Finding the Third Proportional to 1,465 and 3,365

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Solution

The third proportional to 1,465 and 3,365 is: 7,729.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465 : 3,365 = 3,365 : x
  2. Step 2: Convert to fraction form
    1,465/3,365 = 3,365/x
  3. Step 3: Cross multiply
    1,465x = 3,365 × 3,365
  4. Step 4: Simplify right side
    1,465x = 11,323,225
  5. Step 5: Solve for x
    x = 11,323,225/1,465
  6. Step 6: Final answer
    x = 7,729.16

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.