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Finding the Third Proportional to 19,804.50 and 32,653.13

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Solution

The third proportional to 19,804.50 and 32,653.13 is: 53,837.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,804.50 : 32,653.13 = 32,653.13 : x
  2. Step 2: Convert to fraction form
    19,804.50/32,653.13 = 32,653.13/x
  3. Step 3: Cross multiply
    19,804.50x = 32,653.13 × 32,653.13
  4. Step 4: Simplify right side
    19,804.50x = 1,066,226,572.27
  5. Step 5: Solve for x
    x = 1,066,226,572.27/19,804.50
  6. Step 6: Final answer
    x = 53,837.59

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.