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Finding the Third Proportional to 6,287.63 and 10,443.94

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Solution

The third proportional to 6,287.63 and 10,443.94 is: 17,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.63 : 10,443.94 = 10,443.94 : x
  2. Step 2: Convert to fraction form
    6,287.63/10,443.94 = 10,443.94/x
  3. Step 3: Cross multiply
    6,287.63x = 10,443.94 × 10,443.94
  4. Step 4: Simplify right side
    6,287.63x = 109,075,830.50
  5. Step 5: Solve for x
    x = 109,075,830.50/6,287.63
  6. Step 6: Final answer
    x = 17,347.70

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.