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Finding the Third Proportional to 1,575.51 and 3,409.45

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Solution

The third proportional to 1,575.51 and 3,409.45 is: 7,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.51 : 3,409.45 = 3,409.45 : x
  2. Step 2: Convert to fraction form
    1,575.51/3,409.45 = 3,409.45/x
  3. Step 3: Cross multiply
    1,575.51x = 3,409.45 × 3,409.45
  4. Step 4: Simplify right side
    1,575.51x = 11,624,318.17
  5. Step 5: Solve for x
    x = 11,624,318.17/1,575.51
  6. Step 6: Final answer
    x = 7,378.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.