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Finding the Third Proportional to 4,688.63 and 6,852.38

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Solution

The third proportional to 4,688.63 and 6,852.38 is: 10,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.63 : 6,852.38 = 6,852.38 : x
  2. Step 2: Convert to fraction form
    4,688.63/6,852.38 = 6,852.38/x
  3. Step 3: Cross multiply
    4,688.63x = 6,852.38 × 6,852.38
  4. Step 4: Simplify right side
    4,688.63x = 46,955,043.14
  5. Step 5: Solve for x
    x = 46,955,043.14/4,688.63
  6. Step 6: Final answer
    x = 10,014.67

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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.