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Finding the Third Proportional to 23,059.69 and 53,746.03

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Solution

The third proportional to 23,059.69 and 53,746.03 is: 125,267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,059.69 : 53,746.03 = 53,746.03 : x
  2. Step 2: Convert to fraction form
    23,059.69/53,746.03 = 53,746.03/x
  3. Step 3: Cross multiply
    23,059.69x = 53,746.03 × 53,746.03
  4. Step 4: Simplify right side
    23,059.69x = 2,888,635,875.13
  5. Step 5: Solve for x
    x = 2,888,635,875.13/23,059.69
  6. Step 6: Final answer
    x = 125,267.78

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.