Finding the Third Proportional to 47,707 and 70,102
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Solution
The third proportional to 47,707 and 70,102 is: 103,009.84
Step by Step Solution
- Step 1: Write the proportion equation
47,707 : 70,102 = 70,102 : x - Step 2: Convert to fraction form
47,707/70,102 = 70,102/x - Step 3: Cross multiply
47,707x = 70,102 × 70,102 - Step 4: Simplify right side
47,707x = 4,914,290,404 - Step 5: Solve for x
x = 4,914,290,404/47,707 - Step 6: Final answer
x = 103,009.84
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.