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Finding the Third Proportional to 29,894 and 46,900

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Solution

The third proportional to 29,894 and 46,900 is: 73,580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,894 : 46,900 = 46,900 : x
  2. Step 2: Convert to fraction form
    29,894/46,900 = 46,900/x
  3. Step 3: Cross multiply
    29,894x = 46,900 × 46,900
  4. Step 4: Simplify right side
    29,894x = 2,199,610,000
  5. Step 5: Solve for x
    x = 2,199,610,000/29,894
  6. Step 6: Final answer
    x = 73,580.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.