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Finding the Third Proportional to 39,575 and 83,564

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Solution

The third proportional to 39,575 and 83,564 is: 176,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,575 : 83,564 = 83,564 : x
  2. Step 2: Convert to fraction form
    39,575/83,564 = 83,564/x
  3. Step 3: Cross multiply
    39,575x = 83,564 × 83,564
  4. Step 4: Simplify right side
    39,575x = 6,982,942,096
  5. Step 5: Solve for x
    x = 6,982,942,096/39,575
  6. Step 6: Final answer
    x = 176,448.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.