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Finding the Third Proportional to 33,504 and 45,501.50

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Solution

The third proportional to 33,504 and 45,501.50 is: 61,795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,504 : 45,501.50 = 45,501.50 : x
  2. Step 2: Convert to fraction form
    33,504/45,501.50 = 45,501.50/x
  3. Step 3: Cross multiply
    33,504x = 45,501.50 × 45,501.50
  4. Step 4: Simplify right side
    33,504x = 2,070,386,502.25
  5. Step 5: Solve for x
    x = 2,070,386,502.25/33,504
  6. Step 6: Final answer
    x = 61,795.20

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.