Finding the Third Proportional to 1,258 and 1,907
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Solution
The third proportional to 1,258 and 1,907 is: 2,890.82
Step by Step Solution
- Step 1: Write the proportion equation
1,258 : 1,907 = 1,907 : x - Step 2: Convert to fraction form
1,258/1,907 = 1,907/x - Step 3: Cross multiply
1,258x = 1,907 × 1,907 - Step 4: Simplify right side
1,258x = 3,636,649 - Step 5: Solve for x
x = 3,636,649/1,258 - Step 6: Final answer
x = 2,890.82
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.