Finding the Third Proportional to 45,730 and 61,763
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Solution
The third proportional to 45,730 and 61,763 is: 83,417.19
Step by Step Solution
- Step 1: Write the proportion equation
45,730 : 61,763 = 61,763 : x - Step 2: Convert to fraction form
45,730/61,763 = 61,763/x - Step 3: Cross multiply
45,730x = 61,763 × 61,763 - Step 4: Simplify right side
45,730x = 3,814,668,169 - Step 5: Solve for x
x = 3,814,668,169/45,730 - Step 6: Final answer
x = 83,417.19
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.