Finding the Third Proportional to 15,702 and 22,006
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Solution
The third proportional to 15,702 and 22,006 is: 30,840.91
Step by Step Solution
- Step 1: Write the proportion equation
15,702 : 22,006 = 22,006 : x - Step 2: Convert to fraction form
15,702/22,006 = 22,006/x - Step 3: Cross multiply
15,702x = 22,006 × 22,006 - Step 4: Simplify right side
15,702x = 484,264,036 - Step 5: Solve for x
x = 484,264,036/15,702 - Step 6: Final answer
x = 30,840.91
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.