Finding the Third Proportional to 15,730 and 34,484
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Solution
The third proportional to 15,730 and 34,484 is: 75,597.35
Step by Step Solution
- Step 1: Write the proportion equation
15,730 : 34,484 = 34,484 : x - Step 2: Convert to fraction form
15,730/34,484 = 34,484/x - Step 3: Cross multiply
15,730x = 34,484 × 34,484 - Step 4: Simplify right side
15,730x = 1,189,146,256 - Step 5: Solve for x
x = 1,189,146,256/15,730 - Step 6: Final answer
x = 75,597.35
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.