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Finding the Third Proportional to 6,564.94 and 9,852.19

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Solution

The third proportional to 6,564.94 and 9,852.19 is: 14,785.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.94 : 9,852.19 = 9,852.19 : x
  2. Step 2: Convert to fraction form
    6,564.94/9,852.19 = 9,852.19/x
  3. Step 3: Cross multiply
    6,564.94x = 9,852.19 × 9,852.19
  4. Step 4: Simplify right side
    6,564.94x = 97,065,598.54
  5. Step 5: Solve for x
    x = 97,065,598.54/6,564.94
  6. Step 6: Final answer
    x = 14,785.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.