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Finding the Third Proportional to 32,816 and 49,213

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Solution

The third proportional to 32,816 and 49,213 is: 73,803.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,816 : 49,213 = 49,213 : x
  2. Step 2: Convert to fraction form
    32,816/49,213 = 49,213/x
  3. Step 3: Cross multiply
    32,816x = 49,213 × 49,213
  4. Step 4: Simplify right side
    32,816x = 2,421,919,369
  5. Step 5: Solve for x
    x = 2,421,919,369/32,816
  6. Step 6: Final answer
    x = 73,803.00

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Why These Related Problems?

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