Finding the Third Proportional to 42,996 and 64,746
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Solution
The third proportional to 42,996 and 64,746 is: 97,498.48
Step by Step Solution
- Step 1: Write the proportion equation
42,996 : 64,746 = 64,746 : x - Step 2: Convert to fraction form
42,996/64,746 = 64,746/x - Step 3: Cross multiply
42,996x = 64,746 × 64,746 - Step 4: Simplify right side
42,996x = 4,192,044,516 - Step 5: Solve for x
x = 4,192,044,516/42,996 - Step 6: Final answer
x = 97,498.48
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.