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Finding the Third Proportional to 1,895.91 and 4,458.80

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Solution

The third proportional to 1,895.91 and 4,458.80 is: 10,486.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.91 : 4,458.80 = 4,458.80 : x
  2. Step 2: Convert to fraction form
    1,895.91/4,458.80 = 4,458.80/x
  3. Step 3: Cross multiply
    1,895.91x = 4,458.80 × 4,458.80
  4. Step 4: Simplify right side
    1,895.91x = 19,880,869.57
  5. Step 5: Solve for x
    x = 19,880,869.57/1,895.91
  6. Step 6: Final answer
    x = 10,486.21

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.