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Finding the Third Proportional to 19,314 and 40,703.63

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Solution

The third proportional to 19,314 and 40,703.63 is: 85,781.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,314 : 40,703.63 = 40,703.63 : x
  2. Step 2: Convert to fraction form
    19,314/40,703.63 = 40,703.63/x
  3. Step 3: Cross multiply
    19,314x = 40,703.63 × 40,703.63
  4. Step 4: Simplify right side
    19,314x = 1,656,785,088.14
  5. Step 5: Solve for x
    x = 1,656,785,088.14/19,314
  6. Step 6: Final answer
    x = 85,781.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.