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Finding the Third Proportional to 46,453.50 and 70,115.63

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Solution

The third proportional to 46,453.50 and 70,115.63 is: 105,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,453.50 : 70,115.63 = 70,115.63 : x
  2. Step 2: Convert to fraction form
    46,453.50/70,115.63 = 70,115.63/x
  3. Step 3: Cross multiply
    46,453.50x = 70,115.63 × 70,115.63
  4. Step 4: Simplify right side
    46,453.50x = 4,916,200,869.14
  5. Step 5: Solve for x
    x = 4,916,200,869.14/46,453.50
  6. Step 6: Final answer
    x = 105,830.58

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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.