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Finding the Third Proportional to 9,868.50 and 26,716.50

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Solution

The third proportional to 9,868.50 and 26,716.50 is: 72,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.50 : 26,716.50 = 26,716.50 : x
  2. Step 2: Convert to fraction form
    9,868.50/26,716.50 = 26,716.50/x
  3. Step 3: Cross multiply
    9,868.50x = 26,716.50 × 26,716.50
  4. Step 4: Simplify right side
    9,868.50x = 713,771,372.25
  5. Step 5: Solve for x
    x = 713,771,372.25/9,868.50
  6. Step 6: Final answer
    x = 72,328.25

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.