Finding the Third Proportional to 46,803 and 71,570
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Solution
The third proportional to 46,803 and 71,570 is: 109,443.09
Step by Step Solution
- Step 1: Write the proportion equation
46,803 : 71,570 = 71,570 : x - Step 2: Convert to fraction form
46,803/71,570 = 71,570/x - Step 3: Cross multiply
46,803x = 71,570 × 71,570 - Step 4: Simplify right side
46,803x = 5,122,264,900 - Step 5: Solve for x
x = 5,122,264,900/46,803 - Step 6: Final answer
x = 109,443.09
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.