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Finding the Third Proportional to 6,901.63 and 10,762.44

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Solution

The third proportional to 6,901.63 and 10,762.44 is: 16,783.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.63 : 10,762.44 = 10,762.44 : x
  2. Step 2: Convert to fraction form
    6,901.63/10,762.44 = 10,762.44/x
  3. Step 3: Cross multiply
    6,901.63x = 10,762.44 × 10,762.44
  4. Step 4: Simplify right side
    6,901.63x = 115,830,060.94
  5. Step 5: Solve for x
    x = 115,830,060.94/6,901.63
  6. Step 6: Final answer
    x = 16,783.01

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.