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Finding the Third Proportional to 32,798 and 49,203.50

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Solution

The third proportional to 32,798 and 49,203.50 is: 73,815.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,798 : 49,203.50 = 49,203.50 : x
  2. Step 2: Convert to fraction form
    32,798/49,203.50 = 49,203.50/x
  3. Step 3: Cross multiply
    32,798x = 49,203.50 × 49,203.50
  4. Step 4: Simplify right side
    32,798x = 2,420,984,412.25
  5. Step 5: Solve for x
    x = 2,420,984,412.25/32,798
  6. Step 6: Final answer
    x = 73,815.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.