Finding the Third Proportional to 13,009.50 and 30,681
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Solution
The third proportional to 13,009.50 and 30,681 is: 72,356.64
Step by Step Solution
- Step 1: Write the proportion equation
13,009.50 : 30,681 = 30,681 : x - Step 2: Convert to fraction form
13,009.50/30,681 = 30,681/x - Step 3: Cross multiply
13,009.50x = 30,681 × 30,681 - Step 4: Simplify right side
13,009.50x = 941,323,761 - Step 5: Solve for x
x = 941,323,761/13,009.50 - Step 6: Final answer
x = 72,356.64
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.