Finding the Third Proportional to 13,490 and 20,478
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Solution
The third proportional to 13,490 and 20,478 is: 31,085.88
Step by Step Solution
- Step 1: Write the proportion equation
13,490 : 20,478 = 20,478 : x - Step 2: Convert to fraction form
13,490/20,478 = 20,478/x - Step 3: Cross multiply
13,490x = 20,478 × 20,478 - Step 4: Simplify right side
13,490x = 419,348,484 - Step 5: Solve for x
x = 419,348,484/13,490 - Step 6: Final answer
x = 31,085.88
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.