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Finding the Third Proportional to 6,903 and 10,934.50

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Solution

The third proportional to 6,903 and 10,934.50 is: 17,320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903 : 10,934.50 = 10,934.50 : x
  2. Step 2: Convert to fraction form
    6,903/10,934.50 = 10,934.50/x
  3. Step 3: Cross multiply
    6,903x = 10,934.50 × 10,934.50
  4. Step 4: Simplify right side
    6,903x = 119,563,290.25
  5. Step 5: Solve for x
    x = 119,563,290.25/6,903
  6. Step 6: Final answer
    x = 17,320.48

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.