Finding the Third Proportional to 1,964 and 4,297
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Solution
The third proportional to 1,964 and 4,297 is: 9,401.33
Step by Step Solution
- Step 1: Write the proportion equation
1,964 : 4,297 = 4,297 : x - Step 2: Convert to fraction form
1,964/4,297 = 4,297/x - Step 3: Cross multiply
1,964x = 4,297 × 4,297 - Step 4: Simplify right side
1,964x = 18,464,209 - Step 5: Solve for x
x = 18,464,209/1,964 - Step 6: Final answer
x = 9,401.33
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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.