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Finding the Third Proportional to 30,100.50 and 45,798.75

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Solution

The third proportional to 30,100.50 and 45,798.75 is: 69,684.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,100.50 : 45,798.75 = 45,798.75 : x
  2. Step 2: Convert to fraction form
    30,100.50/45,798.75 = 45,798.75/x
  3. Step 3: Cross multiply
    30,100.50x = 45,798.75 × 45,798.75
  4. Step 4: Simplify right side
    30,100.50x = 2,097,525,501.56
  5. Step 5: Solve for x
    x = 2,097,525,501.56/30,100.50
  6. Step 6: Final answer
    x = 69,684.08

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.