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Finding the Third Proportional to 10,567 and 14,773

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Solution

The third proportional to 10,567 and 14,773 is: 20,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,567 : 14,773 = 14,773 : x
  2. Step 2: Convert to fraction form
    10,567/14,773 = 14,773/x
  3. Step 3: Cross multiply
    10,567x = 14,773 × 14,773
  4. Step 4: Simplify right side
    10,567x = 218,241,529
  5. Step 5: Solve for x
    x = 218,241,529/10,567
  6. Step 6: Final answer
    x = 20,653.12

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.