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Finding the Third Proportional to 33,503.63 and 46,071.28

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Solution

The third proportional to 33,503.63 and 46,071.28 is: 63,353.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,503.63 : 46,071.28 = 46,071.28 : x
  2. Step 2: Convert to fraction form
    33,503.63/46,071.28 = 46,071.28/x
  3. Step 3: Cross multiply
    33,503.63x = 46,071.28 × 46,071.28
  4. Step 4: Simplify right side
    33,503.63x = 2,122,562,956.02
  5. Step 5: Solve for x
    x = 2,122,562,956.02/33,503.63
  6. Step 6: Final answer
    x = 63,353.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.