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Finding the Third Proportional to 5,907.46 and 8,585.68

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Solution

The third proportional to 5,907.46 and 8,585.68 is: 12,478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,907.46 : 8,585.68 = 8,585.68 : x
  2. Step 2: Convert to fraction form
    5,907.46/8,585.68 = 8,585.68/x
  3. Step 3: Cross multiply
    5,907.46x = 8,585.68 × 8,585.68
  4. Step 4: Simplify right side
    5,907.46x = 73,713,962.77
  5. Step 5: Solve for x
    x = 73,713,962.77/5,907.46
  6. Step 6: Final answer
    x = 12,478.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.