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Finding the Third Proportional to 6,564.88 and 9,852.13

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Solution

The third proportional to 6,564.88 and 9,852.13 is: 14,785.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.88 : 9,852.13 = 9,852.13 : x
  2. Step 2: Convert to fraction form
    6,564.88/9,852.13 = 9,852.13/x
  3. Step 3: Cross multiply
    6,564.88x = 9,852.13 × 9,852.13
  4. Step 4: Simplify right side
    6,564.88x = 97,064,367.02
  5. Step 5: Solve for x
    x = 97,064,367.02/6,564.88
  6. Step 6: Final answer
    x = 14,785.41

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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.