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Finding the Third Proportional to 1,465 and 3,203.50

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Solution

The third proportional to 1,465 and 3,203.50 is: 7,005.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465 : 3,203.50 = 3,203.50 : x
  2. Step 2: Convert to fraction form
    1,465/3,203.50 = 3,203.50/x
  3. Step 3: Cross multiply
    1,465x = 3,203.50 × 3,203.50
  4. Step 4: Simplify right side
    1,465x = 10,262,412.25
  5. Step 5: Solve for x
    x = 10,262,412.25/1,465
  6. Step 6: Final answer
    x = 7,005.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.