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Finding the Third Proportional to 46,922.25 and 70,444.50

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Solution

The third proportional to 46,922.25 and 70,444.50 is: 105,758.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,922.25 : 70,444.50 = 70,444.50 : x
  2. Step 2: Convert to fraction form
    46,922.25/70,444.50 = 70,444.50/x
  3. Step 3: Cross multiply
    46,922.25x = 70,444.50 × 70,444.50
  4. Step 4: Simplify right side
    46,922.25x = 4,962,427,580.25
  5. Step 5: Solve for x
    x = 4,962,427,580.25/46,922.25
  6. Step 6: Final answer
    x = 105,758.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.