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Finding the Third Proportional to 32,184 and 77,526

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Solution

The third proportional to 32,184 and 77,526 is: 186,747.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,184 : 77,526 = 77,526 : x
  2. Step 2: Convert to fraction form
    32,184/77,526 = 77,526/x
  3. Step 3: Cross multiply
    32,184x = 77,526 × 77,526
  4. Step 4: Simplify right side
    32,184x = 6,010,280,676
  5. Step 5: Solve for x
    x = 6,010,280,676/32,184
  6. Step 6: Final answer
    x = 186,747.47

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.