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Finding the Third Proportional to 40,726.13 and 56,895.75

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Solution

The third proportional to 40,726.13 and 56,895.75 is: 79,485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,726.13 : 56,895.75 = 56,895.75 : x
  2. Step 2: Convert to fraction form
    40,726.13/56,895.75 = 56,895.75/x
  3. Step 3: Cross multiply
    40,726.13x = 56,895.75 × 56,895.75
  4. Step 4: Simplify right side
    40,726.13x = 3,237,126,368.06
  5. Step 5: Solve for x
    x = 3,237,126,368.06/40,726.13
  6. Step 6: Final answer
    x = 79,485.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.