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Finding the Third Proportional to 19,716.75 and 30,547.13

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Solution

The third proportional to 19,716.75 and 30,547.13 is: 47,326.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,716.75 : 30,547.13 = 30,547.13 : x
  2. Step 2: Convert to fraction form
    19,716.75/30,547.13 = 30,547.13/x
  3. Step 3: Cross multiply
    19,716.75x = 30,547.13 × 30,547.13
  4. Step 4: Simplify right side
    19,716.75x = 933,126,845.77
  5. Step 5: Solve for x
    x = 933,126,845.77/19,716.75
  6. Step 6: Final answer
    x = 47,326.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.