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Finding the Third Proportional to 9,503.58 and 19,673.51

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Solution

The third proportional to 9,503.58 and 19,673.51 is: 40,726.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.58 : 19,673.51 = 19,673.51 : x
  2. Step 2: Convert to fraction form
    9,503.58/19,673.51 = 19,673.51/x
  3. Step 3: Cross multiply
    9,503.58x = 19,673.51 × 19,673.51
  4. Step 4: Simplify right side
    9,503.58x = 387,046,909.65
  5. Step 5: Solve for x
    x = 387,046,909.65/9,503.58
  6. Step 6: Final answer
    x = 40,726.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.