Finding the Third Proportional to 7,705.13 and 16,265.81
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Solution
The third proportional to 7,705.13 and 16,265.81 is: 34,337.75
Step by Step Solution
- Step 1: Write the proportion equation
7,705.13 : 16,265.81 = 16,265.81 : x - Step 2: Convert to fraction form
7,705.13/16,265.81 = 16,265.81/x - Step 3: Cross multiply
7,705.13x = 16,265.81 × 16,265.81 - Step 4: Simplify right side
7,705.13x = 264,576,656.29 - Step 5: Solve for x
x = 264,576,656.29/7,705.13 - Step 6: Final answer
x = 34,337.75
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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.