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Finding the Third Proportional to 10,716 and 16,484.25

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Solution

The third proportional to 10,716 and 16,484.25 is: 25,357.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716 : 16,484.25 = 16,484.25 : x
  2. Step 2: Convert to fraction form
    10,716/16,484.25 = 16,484.25/x
  3. Step 3: Cross multiply
    10,716x = 16,484.25 × 16,484.25
  4. Step 4: Simplify right side
    10,716x = 271,730,498.06
  5. Step 5: Solve for x
    x = 271,730,498.06/10,716
  6. Step 6: Final answer
    x = 25,357.46

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.