Finding the Third Proportional to 1,232.09 and 2,602.76
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Solution
The third proportional to 1,232.09 and 2,602.76 is: 5,498.28
Step by Step Solution
- Step 1: Write the proportion equation
1,232.09 : 2,602.76 = 2,602.76 : x - Step 2: Convert to fraction form
1,232.09/2,602.76 = 2,602.76/x - Step 3: Cross multiply
1,232.09x = 2,602.76 × 2,602.76 - Step 4: Simplify right side
1,232.09x = 6,774,348.23 - Step 5: Solve for x
x = 6,774,348.23/1,232.09 - Step 6: Final answer
x = 5,498.28
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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.