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Finding the Third Proportional to 27,530 and 45,547

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Solution

The third proportional to 27,530 and 45,547 is: 75,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,530 : 45,547 = 45,547 : x
  2. Step 2: Convert to fraction form
    27,530/45,547 = 45,547/x
  3. Step 3: Cross multiply
    27,530x = 45,547 × 45,547
  4. Step 4: Simplify right side
    27,530x = 2,074,529,209
  5. Step 5: Solve for x
    x = 2,074,529,209/27,530
  6. Step 6: Final answer
    x = 75,355.22

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.