Finding the Third Proportional to 45,026 and 97,033.50
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Solution
The third proportional to 45,026 and 97,033.50 is: 209,112.52
Step by Step Solution
- Step 1: Write the proportion equation
45,026 : 97,033.50 = 97,033.50 : x - Step 2: Convert to fraction form
45,026/97,033.50 = 97,033.50/x - Step 3: Cross multiply
45,026x = 97,033.50 × 97,033.50 - Step 4: Simplify right side
45,026x = 9,415,500,122.25 - Step 5: Solve for x
x = 9,415,500,122.25/45,026 - Step 6: Final answer
x = 209,112.52
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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.