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Finding the Third Proportional to 23,140.69 and 46,828.13

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Solution

The third proportional to 23,140.69 and 46,828.13 is: 94,762.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,140.69 : 46,828.13 = 46,828.13 : x
  2. Step 2: Convert to fraction form
    23,140.69/46,828.13 = 46,828.13/x
  3. Step 3: Cross multiply
    23,140.69x = 46,828.13 × 46,828.13
  4. Step 4: Simplify right side
    23,140.69x = 2,192,873,291.02
  5. Step 5: Solve for x
    x = 2,192,873,291.02/23,140.69
  6. Step 6: Final answer
    x = 94,762.67

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.