Finding the Third Proportional to 34,706 and 53,787
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Solution
The third proportional to 34,706 and 53,787 is: 83,358.54
Step by Step Solution
- Step 1: Write the proportion equation
34,706 : 53,787 = 53,787 : x - Step 2: Convert to fraction form
34,706/53,787 = 53,787/x - Step 3: Cross multiply
34,706x = 53,787 × 53,787 - Step 4: Simplify right side
34,706x = 2,893,041,369 - Step 5: Solve for x
x = 2,893,041,369/34,706 - Step 6: Final answer
x = 83,358.54
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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.