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Finding the Third Proportional to 30,806.50 and 46,429

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Solution

The third proportional to 30,806.50 and 46,429 is: 69,973.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,806.50 : 46,429 = 46,429 : x
  2. Step 2: Convert to fraction form
    30,806.50/46,429 = 46,429/x
  3. Step 3: Cross multiply
    30,806.50x = 46,429 × 46,429
  4. Step 4: Simplify right side
    30,806.50x = 2,155,652,041
  5. Step 5: Solve for x
    x = 2,155,652,041/30,806.50
  6. Step 6: Final answer
    x = 69,973.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.