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Finding the Third Proportional to 1,554.19 and 4,200.19

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Solution

The third proportional to 1,554.19 and 4,200.19 is: 11,351.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.19 : 4,200.19 = 4,200.19 : x
  2. Step 2: Convert to fraction form
    1,554.19/4,200.19 = 4,200.19/x
  3. Step 3: Cross multiply
    1,554.19x = 4,200.19 × 4,200.19
  4. Step 4: Simplify right side
    1,554.19x = 17,641,575.04
  5. Step 5: Solve for x
    x = 17,641,575.04/1,554.19
  6. Step 6: Final answer
    x = 11,351.00

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.