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Finding the Third Proportional to 46,036.31 and 71,852.63

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Solution

The third proportional to 46,036.31 and 71,852.63 is: 112,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,036.31 : 71,852.63 = 71,852.63 : x
  2. Step 2: Convert to fraction form
    46,036.31/71,852.63 = 71,852.63/x
  3. Step 3: Cross multiply
    46,036.31x = 71,852.63 × 71,852.63
  4. Step 4: Simplify right side
    46,036.31x = 5,162,799,719.39
  5. Step 5: Solve for x
    x = 5,162,799,719.39/46,036.31
  6. Step 6: Final answer
    x = 112,146.25

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.