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Finding the Third Proportional to 30,416.63 and 40,686.75

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Solution

The third proportional to 30,416.63 and 40,686.75 is: 54,424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416.63 : 40,686.75 = 40,686.75 : x
  2. Step 2: Convert to fraction form
    30,416.63/40,686.75 = 40,686.75/x
  3. Step 3: Cross multiply
    30,416.63x = 40,686.75 × 40,686.75
  4. Step 4: Simplify right side
    30,416.63x = 1,655,411,625.56
  5. Step 5: Solve for x
    x = 1,655,411,625.56/30,416.63
  6. Step 6: Final answer
    x = 54,424.57

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.