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Finding the Third Proportional to 47,101.50 and 62,066.25

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Solution

The third proportional to 47,101.50 and 62,066.25 is: 81,785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,101.50 : 62,066.25 = 62,066.25 : x
  2. Step 2: Convert to fraction form
    47,101.50/62,066.25 = 62,066.25/x
  3. Step 3: Cross multiply
    47,101.50x = 62,066.25 × 62,066.25
  4. Step 4: Simplify right side
    47,101.50x = 3,852,219,389.06
  5. Step 5: Solve for x
    x = 3,852,219,389.06/47,101.50
  6. Step 6: Final answer
    x = 81,785.49

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.