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Finding the Third Proportional to 37,053 and 79,938

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Solution

The third proportional to 37,053 and 79,938 is: 172,457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,053 : 79,938 = 79,938 : x
  2. Step 2: Convert to fraction form
    37,053/79,938 = 79,938/x
  3. Step 3: Cross multiply
    37,053x = 79,938 × 79,938
  4. Step 4: Simplify right side
    37,053x = 6,390,083,844
  5. Step 5: Solve for x
    x = 6,390,083,844/37,053
  6. Step 6: Final answer
    x = 172,457.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.