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Finding the Third Proportional to 1,905.19 and 4,590.84

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Solution

The third proportional to 1,905.19 and 4,590.84 is: 11,062.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.19 : 4,590.84 = 4,590.84 : x
  2. Step 2: Convert to fraction form
    1,905.19/4,590.84 = 4,590.84/x
  3. Step 3: Cross multiply
    1,905.19x = 4,590.84 × 4,590.84
  4. Step 4: Simplify right side
    1,905.19x = 21,075,846.34
  5. Step 5: Solve for x
    x = 21,075,846.34/1,905.19
  6. Step 6: Final answer
    x = 11,062.35

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.