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Finding the Third Proportional to 46,248 and 61,483.50

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Solution

The third proportional to 46,248 and 61,483.50 is: 81,738.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,248 : 61,483.50 = 61,483.50 : x
  2. Step 2: Convert to fraction form
    46,248/61,483.50 = 61,483.50/x
  3. Step 3: Cross multiply
    46,248x = 61,483.50 × 61,483.50
  4. Step 4: Simplify right side
    46,248x = 3,780,220,772.25
  5. Step 5: Solve for x
    x = 3,780,220,772.25/46,248
  6. Step 6: Final answer
    x = 81,738.04

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.