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Finding the Third Proportional to 29,508.50 and 46,928

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Solution

The third proportional to 29,508.50 and 46,928 is: 74,630.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,508.50 : 46,928 = 46,928 : x
  2. Step 2: Convert to fraction form
    29,508.50/46,928 = 46,928/x
  3. Step 3: Cross multiply
    29,508.50x = 46,928 × 46,928
  4. Step 4: Simplify right side
    29,508.50x = 2,202,237,184
  5. Step 5: Solve for x
    x = 2,202,237,184/29,508.50
  6. Step 6: Final answer
    x = 74,630.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.