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Finding the Third Proportional to 26,985.50 and 40,854

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Solution

The third proportional to 26,985.50 and 40,854 is: 61,849.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,985.50 : 40,854 = 40,854 : x
  2. Step 2: Convert to fraction form
    26,985.50/40,854 = 40,854/x
  3. Step 3: Cross multiply
    26,985.50x = 40,854 × 40,854
  4. Step 4: Simplify right side
    26,985.50x = 1,669,049,316
  5. Step 5: Solve for x
    x = 1,669,049,316/26,985.50
  6. Step 6: Final answer
    x = 61,849.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.