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Finding the Third Proportional to 32,698 and 48,803

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Solution

The third proportional to 32,698 and 48,803 is: 72,840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,698 : 48,803 = 48,803 : x
  2. Step 2: Convert to fraction form
    32,698/48,803 = 48,803/x
  3. Step 3: Cross multiply
    32,698x = 48,803 × 48,803
  4. Step 4: Simplify right side
    32,698x = 2,381,732,809
  5. Step 5: Solve for x
    x = 2,381,732,809/32,698
  6. Step 6: Final answer
    x = 72,840.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.