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Finding the Third Proportional to 897.50 and 1,639

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Solution

The third proportional to 897.50 and 1,639 is: 2,993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.50 : 1,639 = 1,639 : x
  2. Step 2: Convert to fraction form
    897.50/1,639 = 1,639/x
  3. Step 3: Cross multiply
    897.50x = 1,639 × 1,639
  4. Step 4: Simplify right side
    897.50x = 2,686,321
  5. Step 5: Solve for x
    x = 2,686,321/897.50
  6. Step 6: Final answer
    x = 2,993.12

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.