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Finding the Third Proportional to 38,900 and 58,342

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Solution

The third proportional to 38,900 and 58,342 is: 87,501.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,900 : 58,342 = 58,342 : x
  2. Step 2: Convert to fraction form
    38,900/58,342 = 58,342/x
  3. Step 3: Cross multiply
    38,900x = 58,342 × 58,342
  4. Step 4: Simplify right side
    38,900x = 3,403,788,964
  5. Step 5: Solve for x
    x = 3,403,788,964/38,900
  6. Step 6: Final answer
    x = 87,501.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.