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Finding the Third Proportional to 29,806.50 and 46,470

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Solution

The third proportional to 29,806.50 and 46,470 is: 72,449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,806.50 : 46,470 = 46,470 : x
  2. Step 2: Convert to fraction form
    29,806.50/46,470 = 46,470/x
  3. Step 3: Cross multiply
    29,806.50x = 46,470 × 46,470
  4. Step 4: Simplify right side
    29,806.50x = 2,159,460,900
  5. Step 5: Solve for x
    x = 2,159,460,900/29,806.50
  6. Step 6: Final answer
    x = 72,449.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.