Finding the Third Proportional to 17,282.50 and 40,470
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Solution
The third proportional to 17,282.50 and 40,470 is: 94,767.59
Step by Step Solution
- Step 1: Write the proportion equation
17,282.50 : 40,470 = 40,470 : x - Step 2: Convert to fraction form
17,282.50/40,470 = 40,470/x - Step 3: Cross multiply
17,282.50x = 40,470 × 40,470 - Step 4: Simplify right side
17,282.50x = 1,637,820,900 - Step 5: Solve for x
x = 1,637,820,900/17,282.50 - Step 6: Final answer
x = 94,767.59
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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.