Finding the Third Proportional to 9,193.50 and 14,565.66
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Solution
The third proportional to 9,193.50 and 14,565.66 is: 23,076.99
Step by Step Solution
- Step 1: Write the proportion equation
9,193.50 : 14,565.66 = 14,565.66 : x - Step 2: Convert to fraction form
9,193.50/14,565.66 = 14,565.66/x - Step 3: Cross multiply
9,193.50x = 14,565.66 × 14,565.66 - Step 4: Simplify right side
9,193.50x = 212,158,341.99 - Step 5: Solve for x
x = 212,158,341.99/9,193.50 - Step 6: Final answer
x = 23,076.99
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.