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Finding the Third Proportional to 38,810 and 56,938

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Solution

The third proportional to 38,810 and 56,938 is: 83,533.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,810 : 56,938 = 56,938 : x
  2. Step 2: Convert to fraction form
    38,810/56,938 = 56,938/x
  3. Step 3: Cross multiply
    38,810x = 56,938 × 56,938
  4. Step 4: Simplify right side
    38,810x = 3,241,935,844
  5. Step 5: Solve for x
    x = 3,241,935,844/38,810
  6. Step 6: Final answer
    x = 83,533.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.