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Finding the Third Proportional to 6,483.63 and 10,292.50

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Solution

The third proportional to 6,483.63 and 10,292.50 is: 16,338.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.63 : 10,292.50 = 10,292.50 : x
  2. Step 2: Convert to fraction form
    6,483.63/10,292.50 = 10,292.50/x
  3. Step 3: Cross multiply
    6,483.63x = 10,292.50 × 10,292.50
  4. Step 4: Simplify right side
    6,483.63x = 105,935,556.25
  5. Step 5: Solve for x
    x = 105,935,556.25/6,483.63
  6. Step 6: Final answer
    x = 16,338.94

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.