Finding the Third Proportional to 38,971.13 and 83,273.06
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Solution
The third proportional to 38,971.13 and 83,273.06 is: 177,936.95
Step by Step Solution
- Step 1: Write the proportion equation
38,971.13 : 83,273.06 = 83,273.06 : x - Step 2: Convert to fraction form
38,971.13/83,273.06 = 83,273.06/x - Step 3: Cross multiply
38,971.13x = 83,273.06 × 83,273.06 - Step 4: Simplify right side
38,971.13x = 6,934,402,938.13 - Step 5: Solve for x
x = 6,934,402,938.13/38,971.13 - Step 6: Final answer
x = 177,936.95
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.