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Finding the Third Proportional to 8,037.98 and 17,417.53

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Solution

The third proportional to 8,037.98 and 17,417.53 is: 37,742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.98 : 17,417.53 = 17,417.53 : x
  2. Step 2: Convert to fraction form
    8,037.98/17,417.53 = 17,417.53/x
  3. Step 3: Cross multiply
    8,037.98x = 17,417.53 × 17,417.53
  4. Step 4: Simplify right side
    8,037.98x = 303,370,394.84
  5. Step 5: Solve for x
    x = 303,370,394.84/8,037.98
  6. Step 6: Final answer
    x = 37,742.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.