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Finding the Third Proportional to 16,258 and 25,108

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Solution

The third proportional to 16,258 and 25,108 is: 38,775.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,258 : 25,108 = 25,108 : x
  2. Step 2: Convert to fraction form
    16,258/25,108 = 25,108/x
  3. Step 3: Cross multiply
    16,258x = 25,108 × 25,108
  4. Step 4: Simplify right side
    16,258x = 630,411,664
  5. Step 5: Solve for x
    x = 630,411,664/16,258
  6. Step 6: Final answer
    x = 38,775.47

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.