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Finding the Third Proportional to 34,415.25 and 46,438.50

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Solution

The third proportional to 34,415.25 and 46,438.50 is: 62,662.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,415.25 : 46,438.50 = 46,438.50 : x
  2. Step 2: Convert to fraction form
    34,415.25/46,438.50 = 46,438.50/x
  3. Step 3: Cross multiply
    34,415.25x = 46,438.50 × 46,438.50
  4. Step 4: Simplify right side
    34,415.25x = 2,156,534,282.25
  5. Step 5: Solve for x
    x = 2,156,534,282.25/34,415.25
  6. Step 6: Final answer
    x = 62,662.17

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.