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Finding the Third Proportional to 42,047.50 and 66,864.25

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Solution

The third proportional to 42,047.50 and 66,864.25 is: 106,328.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,047.50 : 66,864.25 = 66,864.25 : x
  2. Step 2: Convert to fraction form
    42,047.50/66,864.25 = 66,864.25/x
  3. Step 3: Cross multiply
    42,047.50x = 66,864.25 × 66,864.25
  4. Step 4: Simplify right side
    42,047.50x = 4,470,827,928.06
  5. Step 5: Solve for x
    x = 4,470,827,928.06/42,047.50
  6. Step 6: Final answer
    x = 106,328.03

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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.