Finding the Third Proportional to 2,134.13 and 4,564.13
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Solution
The third proportional to 2,134.13 and 4,564.13 is: 9,761.02
Step by Step Solution
- Step 1: Write the proportion equation
2,134.13 : 4,564.13 = 4,564.13 : x - Step 2: Convert to fraction form
2,134.13/4,564.13 = 4,564.13/x - Step 3: Cross multiply
2,134.13x = 4,564.13 × 4,564.13 - Step 4: Simplify right side
2,134.13x = 20,831,237.02 - Step 5: Solve for x
x = 20,831,237.02/2,134.13 - Step 6: Final answer
x = 9,761.02
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.