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Finding the Third Proportional to 10,797 and 23,594.50

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Solution

The third proportional to 10,797 and 23,594.50 is: 51,560.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797 : 23,594.50 = 23,594.50 : x
  2. Step 2: Convert to fraction form
    10,797/23,594.50 = 23,594.50/x
  3. Step 3: Cross multiply
    10,797x = 23,594.50 × 23,594.50
  4. Step 4: Simplify right side
    10,797x = 556,700,430.25
  5. Step 5: Solve for x
    x = 556,700,430.25/10,797
  6. Step 6: Final answer
    x = 51,560.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.