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Finding the Third Proportional to 32,810.63 and 49,206.38

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Solution

The third proportional to 32,810.63 and 49,206.38 is: 73,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,810.63 : 49,206.38 = 49,206.38 : x
  2. Step 2: Convert to fraction form
    32,810.63/49,206.38 = 49,206.38/x
  3. Step 3: Cross multiply
    32,810.63x = 49,206.38 × 49,206.38
  4. Step 4: Simplify right side
    32,810.63x = 2,421,267,340.64
  5. Step 5: Solve for x
    x = 2,421,267,340.64/32,810.63
  6. Step 6: Final answer
    x = 73,795.22

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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.