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Finding the Third Proportional to 6,973.50 and 10,716

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Solution

The third proportional to 6,973.50 and 10,716 is: 16,467.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.50 : 10,716 = 10,716 : x
  2. Step 2: Convert to fraction form
    6,973.50/10,716 = 10,716/x
  3. Step 3: Cross multiply
    6,973.50x = 10,716 × 10,716
  4. Step 4: Simplify right side
    6,973.50x = 114,832,656
  5. Step 5: Solve for x
    x = 114,832,656/6,973.50
  6. Step 6: Final answer
    x = 16,467.00

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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.