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Finding the Third Proportional to 1,705.88 and 3,592.88

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Solution

The third proportional to 1,705.88 and 3,592.88 is: 7,567.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.88 : 3,592.88 = 3,592.88 : x
  2. Step 2: Convert to fraction form
    1,705.88/3,592.88 = 3,592.88/x
  3. Step 3: Cross multiply
    1,705.88x = 3,592.88 × 3,592.88
  4. Step 4: Simplify right side
    1,705.88x = 12,908,750.77
  5. Step 5: Solve for x
    x = 12,908,750.77/1,705.88
  6. Step 6: Final answer
    x = 7,567.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.