Finding the Third Proportional to 35,712 and 78,430
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Solution
The third proportional to 35,712 and 78,430 is: 172,246.44
Step by Step Solution
- Step 1: Write the proportion equation
35,712 : 78,430 = 78,430 : x - Step 2: Convert to fraction form
35,712/78,430 = 78,430/x - Step 3: Cross multiply
35,712x = 78,430 × 78,430 - Step 4: Simplify right side
35,712x = 6,151,264,900 - Step 5: Solve for x
x = 6,151,264,900/35,712 - Step 6: Final answer
x = 172,246.44
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.