Finding the Third Proportional to 42,942 and 94,017
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Solution
The third proportional to 42,942 and 94,017 is: 205,840.35
Step by Step Solution
- Step 1: Write the proportion equation
42,942 : 94,017 = 94,017 : x - Step 2: Convert to fraction form
42,942/94,017 = 94,017/x - Step 3: Cross multiply
42,942x = 94,017 × 94,017 - Step 4: Simplify right side
42,942x = 8,839,196,289 - Step 5: Solve for x
x = 8,839,196,289/42,942 - Step 6: Final answer
x = 205,840.35
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.