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Finding the Third Proportional to 22,289.50 and 34,798

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Solution

The third proportional to 22,289.50 and 34,798 is: 54,326.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,289.50 : 34,798 = 34,798 : x
  2. Step 2: Convert to fraction form
    22,289.50/34,798 = 34,798/x
  3. Step 3: Cross multiply
    22,289.50x = 34,798 × 34,798
  4. Step 4: Simplify right side
    22,289.50x = 1,210,900,804
  5. Step 5: Solve for x
    x = 1,210,900,804/22,289.50
  6. Step 6: Final answer
    x = 54,326.06

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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.