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Finding the Third Proportional to 35,024 and 53,585

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Solution

The third proportional to 35,024 and 53,585 is: 81,982.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,024 : 53,585 = 53,585 : x
  2. Step 2: Convert to fraction form
    35,024/53,585 = 53,585/x
  3. Step 3: Cross multiply
    35,024x = 53,585 × 53,585
  4. Step 4: Simplify right side
    35,024x = 2,871,352,225
  5. Step 5: Solve for x
    x = 2,871,352,225/35,024
  6. Step 6: Final answer
    x = 81,982.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.