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Finding the Third Proportional to 6,532.95 and 9,645.54

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Solution

The third proportional to 6,532.95 and 9,645.54 is: 14,241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.95 : 9,645.54 = 9,645.54 : x
  2. Step 2: Convert to fraction form
    6,532.95/9,645.54 = 9,645.54/x
  3. Step 3: Cross multiply
    6,532.95x = 9,645.54 × 9,645.54
  4. Step 4: Simplify right side
    6,532.95x = 93,036,423.81
  5. Step 5: Solve for x
    x = 93,036,423.81/6,532.95
  6. Step 6: Final answer
    x = 14,241.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.