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Finding the Third Proportional to 19,185.19 and 29,597.91

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Solution

The third proportional to 19,185.19 and 29,597.91 is: 45,662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,185.19 : 29,597.91 = 29,597.91 : x
  2. Step 2: Convert to fraction form
    19,185.19/29,597.91 = 29,597.91/x
  3. Step 3: Cross multiply
    19,185.19x = 29,597.91 × 29,597.91
  4. Step 4: Simplify right side
    19,185.19x = 876,036,054.38
  5. Step 5: Solve for x
    x = 876,036,054.38/19,185.19
  6. Step 6: Final answer
    x = 45,662.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.