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Finding the Third Proportional to 46,400 and 70,522.50

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Solution

The third proportional to 46,400 and 70,522.50 is: 107,185.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,400 : 70,522.50 = 70,522.50 : x
  2. Step 2: Convert to fraction form
    46,400/70,522.50 = 70,522.50/x
  3. Step 3: Cross multiply
    46,400x = 70,522.50 × 70,522.50
  4. Step 4: Simplify right side
    46,400x = 4,973,423,006.25
  5. Step 5: Solve for x
    x = 4,973,423,006.25/46,400
  6. Step 6: Final answer
    x = 107,185.84

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.