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Finding the Third Proportional to 6,561 and 9,597.50

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Solution

The third proportional to 6,561 and 9,597.50 is: 14,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561 : 9,597.50 = 9,597.50 : x
  2. Step 2: Convert to fraction form
    6,561/9,597.50 = 9,597.50/x
  3. Step 3: Cross multiply
    6,561x = 9,597.50 × 9,597.50
  4. Step 4: Simplify right side
    6,561x = 92,112,006.25
  5. Step 5: Solve for x
    x = 92,112,006.25/6,561
  6. Step 6: Final answer
    x = 14,039.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.