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Finding the Third Proportional to 32,143.50 and 46,958.63

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Solution

The third proportional to 32,143.50 and 46,958.63 is: 68,602.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,143.50 : 46,958.63 = 46,958.63 : x
  2. Step 2: Convert to fraction form
    32,143.50/46,958.63 = 46,958.63/x
  3. Step 3: Cross multiply
    32,143.50x = 46,958.63 × 46,958.63
  4. Step 4: Simplify right side
    32,143.50x = 2,205,112,461.89
  5. Step 5: Solve for x
    x = 2,205,112,461.89/32,143.50
  6. Step 6: Final answer
    x = 68,602.13

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.