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Finding the Third Proportional to 6,931.83 and 15,130.55

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Solution

The third proportional to 6,931.83 and 15,130.55 is: 33,026.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.83 : 15,130.55 = 15,130.55 : x
  2. Step 2: Convert to fraction form
    6,931.83/15,130.55 = 15,130.55/x
  3. Step 3: Cross multiply
    6,931.83x = 15,130.55 × 15,130.55
  4. Step 4: Simplify right side
    6,931.83x = 228,933,448.74
  5. Step 5: Solve for x
    x = 228,933,448.74/6,931.83
  6. Step 6: Final answer
    x = 33,026.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.