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Finding the Third Proportional to 46,116 and 62,582.63

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Solution

The third proportional to 46,116 and 62,582.63 is: 84,928.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,116 : 62,582.63 = 62,582.63 : x
  2. Step 2: Convert to fraction form
    46,116/62,582.63 = 62,582.63/x
  3. Step 3: Cross multiply
    46,116x = 62,582.63 × 62,582.63
  4. Step 4: Simplify right side
    46,116x = 3,916,584,951.89
  5. Step 5: Solve for x
    x = 3,916,584,951.89/46,116
  6. Step 6: Final answer
    x = 84,928.98

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.