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Finding the Third Proportional to 30,046 and 69,554.50

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Solution

The third proportional to 30,046 and 69,554.50 is: 161,014.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,046 : 69,554.50 = 69,554.50 : x
  2. Step 2: Convert to fraction form
    30,046/69,554.50 = 69,554.50/x
  3. Step 3: Cross multiply
    30,046x = 69,554.50 × 69,554.50
  4. Step 4: Simplify right side
    30,046x = 4,837,828,470.25
  5. Step 5: Solve for x
    x = 4,837,828,470.25/30,046
  6. Step 6: Final answer
    x = 161,014.06

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.