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Finding the Third Proportional to 26,807.25 and 39,430.69

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Solution

The third proportional to 26,807.25 and 39,430.69 is: 57,998.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,807.25 : 39,430.69 = 39,430.69 : x
  2. Step 2: Convert to fraction form
    26,807.25/39,430.69 = 39,430.69/x
  3. Step 3: Cross multiply
    26,807.25x = 39,430.69 × 39,430.69
  4. Step 4: Simplify right side
    26,807.25x = 1,554,779,116.72
  5. Step 5: Solve for x
    x = 1,554,779,116.72/26,807.25
  6. Step 6: Final answer
    x = 57,998.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.