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Finding the Third Proportional to 39,020 and 56,956

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Solution

The third proportional to 39,020 and 56,956 is: 83,136.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,020 : 56,956 = 56,956 : x
  2. Step 2: Convert to fraction form
    39,020/56,956 = 56,956/x
  3. Step 3: Cross multiply
    39,020x = 56,956 × 56,956
  4. Step 4: Simplify right side
    39,020x = 3,243,985,936
  5. Step 5: Solve for x
    x = 3,243,985,936/39,020
  6. Step 6: Final answer
    x = 83,136.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.