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Finding the Third Proportional to 42,284 and 56,956

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Solution

The third proportional to 42,284 and 56,956 is: 76,718.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,284 : 56,956 = 56,956 : x
  2. Step 2: Convert to fraction form
    42,284/56,956 = 56,956/x
  3. Step 3: Cross multiply
    42,284x = 56,956 × 56,956
  4. Step 4: Simplify right side
    42,284x = 3,243,985,936
  5. Step 5: Solve for x
    x = 3,243,985,936/42,284
  6. Step 6: Final answer
    x = 76,718.99

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.