Finding the Third Proportional to 6,405.75 and 14,823.75
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Solution
The third proportional to 6,405.75 and 14,823.75 is: 34,304.11
Step by Step Solution
- Step 1: Write the proportion equation
6,405.75 : 14,823.75 = 14,823.75 : x - Step 2: Convert to fraction form
6,405.75/14,823.75 = 14,823.75/x - Step 3: Cross multiply
6,405.75x = 14,823.75 × 14,823.75 - Step 4: Simplify right side
6,405.75x = 219,743,564.06 - Step 5: Solve for x
x = 219,743,564.06/6,405.75 - Step 6: Final answer
x = 34,304.11
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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.