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Finding the Third Proportional to 40,429.13 and 56,543.06

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Solution

The third proportional to 40,429.13 and 56,543.06 is: 79,079.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,429.13 : 56,543.06 = 56,543.06 : x
  2. Step 2: Convert to fraction form
    40,429.13/56,543.06 = 56,543.06/x
  3. Step 3: Cross multiply
    40,429.13x = 56,543.06 × 56,543.06
  4. Step 4: Simplify right side
    40,429.13x = 3,197,117,916.88
  5. Step 5: Solve for x
    x = 3,197,117,916.88/40,429.13
  6. Step 6: Final answer
    x = 79,079.57

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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.