Finding the Third Proportional to 36,547.50 and 56,442
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Solution
The third proportional to 36,547.50 and 56,442 is: 87,166.00
Step by Step Solution
- Step 1: Write the proportion equation
36,547.50 : 56,442 = 56,442 : x - Step 2: Convert to fraction form
36,547.50/56,442 = 56,442/x - Step 3: Cross multiply
36,547.50x = 56,442 × 56,442 - Step 4: Simplify right side
36,547.50x = 3,185,699,364 - Step 5: Solve for x
x = 3,185,699,364/36,547.50 - Step 6: Final answer
x = 87,166.00
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.