Finding the Third Proportional to 5,134.50 and 6,970.50
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Solution
The third proportional to 5,134.50 and 6,970.50 is: 9,463.02
Step by Step Solution
- Step 1: Write the proportion equation
5,134.50 : 6,970.50 = 6,970.50 : x - Step 2: Convert to fraction form
5,134.50/6,970.50 = 6,970.50/x - Step 3: Cross multiply
5,134.50x = 6,970.50 × 6,970.50 - Step 4: Simplify right side
5,134.50x = 48,587,870.25 - Step 5: Solve for x
x = 48,587,870.25/5,134.50 - Step 6: Final answer
x = 9,463.02
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.