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Finding the Third Proportional to 1,907.15 and 2,915.69

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Solution

The third proportional to 1,907.15 and 2,915.69 is: 4,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.15 : 2,915.69 = 2,915.69 : x
  2. Step 2: Convert to fraction form
    1,907.15/2,915.69 = 2,915.69/x
  3. Step 3: Cross multiply
    1,907.15x = 2,915.69 × 2,915.69
  4. Step 4: Simplify right side
    1,907.15x = 8,501,239.65
  5. Step 5: Solve for x
    x = 8,501,239.65/1,907.15
  6. Step 6: Final answer
    x = 4,457.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.