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Finding the Third Proportional to 25,972 and 56,030

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Solution

The third proportional to 25,972 and 56,030 is: 120,874.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,972 : 56,030 = 56,030 : x
  2. Step 2: Convert to fraction form
    25,972/56,030 = 56,030/x
  3. Step 3: Cross multiply
    25,972x = 56,030 × 56,030
  4. Step 4: Simplify right side
    25,972x = 3,139,360,900
  5. Step 5: Solve for x
    x = 3,139,360,900/25,972
  6. Step 6: Final answer
    x = 120,874.82

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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.