Finding the Third Proportional to 1,564 and 1,564
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Solution
The third proportional to 1,564 and 1,564 is: 1,564
Step by Step Solution
- Step 1: Write the proportion equation
1,564 : 1,564 = 1,564 : x - Step 2: Convert to fraction form
1,564/1,564 = 1,564/x - Step 3: Cross multiply
1,564x = 1,564 × 1,564 - Step 4: Simplify right side
1,564x = 2,446,096 - Step 5: Solve for x
x = 2,446,096/1,564 - Step 6: Final answer
x = 1,564
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These problems maintain the same ratio (1) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.