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Finding the Third Proportional to 15,898.50 and 34,258

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Solution

The third proportional to 15,898.50 and 34,258 is: 73,818.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,898.50 : 34,258 = 34,258 : x
  2. Step 2: Convert to fraction form
    15,898.50/34,258 = 34,258/x
  3. Step 3: Cross multiply
    15,898.50x = 34,258 × 34,258
  4. Step 4: Simplify right side
    15,898.50x = 1,173,610,564
  5. Step 5: Solve for x
    x = 1,173,610,564/15,898.50
  6. Step 6: Final answer
    x = 73,818.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.