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Finding the Third Proportional to 23,386.50 and 49,653

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Solution

The third proportional to 23,386.50 and 49,653 is: 105,420.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,386.50 : 49,653 = 49,653 : x
  2. Step 2: Convert to fraction form
    23,386.50/49,653 = 49,653/x
  3. Step 3: Cross multiply
    23,386.50x = 49,653 × 49,653
  4. Step 4: Simplify right side
    23,386.50x = 2,465,420,409
  5. Step 5: Solve for x
    x = 2,465,420,409/23,386.50
  6. Step 6: Final answer
    x = 105,420.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.