Finding the Third Proportional to 10,102 and 15,506
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Solution
The third proportional to 10,102 and 15,506 is: 23,800.84
Step by Step Solution
- Step 1: Write the proportion equation
10,102 : 15,506 = 15,506 : x - Step 2: Convert to fraction form
10,102/15,506 = 15,506/x - Step 3: Cross multiply
10,102x = 15,506 × 15,506 - Step 4: Simplify right side
10,102x = 240,436,036 - Step 5: Solve for x
x = 240,436,036/10,102 - Step 6: Final answer
x = 23,800.84
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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.