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Finding the Third Proportional to 6,571.13 and 10,460.63

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Solution

The third proportional to 6,571.13 and 10,460.63 is: 16,652.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.13 : 10,460.63 = 10,460.63 : x
  2. Step 2: Convert to fraction form
    6,571.13/10,460.63 = 10,460.63/x
  3. Step 3: Cross multiply
    6,571.13x = 10,460.63 × 10,460.63
  4. Step 4: Simplify right side
    6,571.13x = 109,424,675.39
  5. Step 5: Solve for x
    x = 109,424,675.39/6,571.13
  6. Step 6: Final answer
    x = 16,652.35

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.