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Finding the Third Proportional to 46,852.63 and 74,515.38

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Solution

The third proportional to 46,852.63 and 74,515.38 is: 118,510.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,852.63 : 74,515.38 = 74,515.38 : x
  2. Step 2: Convert to fraction form
    46,852.63/74,515.38 = 74,515.38/x
  3. Step 3: Cross multiply
    46,852.63x = 74,515.38 × 74,515.38
  4. Step 4: Simplify right side
    46,852.63x = 5,552,541,111.39
  5. Step 5: Solve for x
    x = 5,552,541,111.39/46,852.63
  6. Step 6: Final answer
    x = 118,510.78

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.