Finding the Third Proportional to 45,823 and 70,951
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Solution
The third proportional to 45,823 and 70,951 is: 109,858.46
Step by Step Solution
- Step 1: Write the proportion equation
45,823 : 70,951 = 70,951 : x - Step 2: Convert to fraction form
45,823/70,951 = 70,951/x - Step 3: Cross multiply
45,823x = 70,951 × 70,951 - Step 4: Simplify right side
45,823x = 5,034,044,401 - Step 5: Solve for x
x = 5,034,044,401/45,823 - Step 6: Final answer
x = 109,858.46
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.