Finding the Third Proportional to 3,102.75 and 6,691.75
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Solution
The third proportional to 3,102.75 and 6,691.75 is: 14,432.20
Step by Step Solution
- Step 1: Write the proportion equation
3,102.75 : 6,691.75 = 6,691.75 : x - Step 2: Convert to fraction form
3,102.75/6,691.75 = 6,691.75/x - Step 3: Cross multiply
3,102.75x = 6,691.75 × 6,691.75 - Step 4: Simplify right side
3,102.75x = 44,779,518.06 - Step 5: Solve for x
x = 44,779,518.06/3,102.75 - Step 6: Final answer
x = 14,432.20
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.