Finding the Third Proportional to 14,597 and 23,415
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Solution
The third proportional to 14,597 and 23,415 is: 37,559.92
Step by Step Solution
- Step 1: Write the proportion equation
14,597 : 23,415 = 23,415 : x - Step 2: Convert to fraction form
14,597/23,415 = 23,415/x - Step 3: Cross multiply
14,597x = 23,415 × 23,415 - Step 4: Simplify right side
14,597x = 548,262,225 - Step 5: Solve for x
x = 548,262,225/14,597 - Step 6: Final answer
x = 37,559.92
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.