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Finding the Third Proportional to 19,547.25 and 31,473.38

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Solution

The third proportional to 19,547.25 and 31,473.38 is: 50,675.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,547.25 : 31,473.38 = 31,473.38 : x
  2. Step 2: Convert to fraction form
    19,547.25/31,473.38 = 31,473.38/x
  3. Step 3: Cross multiply
    19,547.25x = 31,473.38 × 31,473.38
  4. Step 4: Simplify right side
    19,547.25x = 990,573,333.89
  5. Step 5: Solve for x
    x = 990,573,333.89/19,547.25
  6. Step 6: Final answer
    x = 50,675.84

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.