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Finding the Third Proportional to 1,335.94 and 2,931.47

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Solution

The third proportional to 1,335.94 and 2,931.47 is: 6,432.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.94 : 2,931.47 = 2,931.47 : x
  2. Step 2: Convert to fraction form
    1,335.94/2,931.47 = 2,931.47/x
  3. Step 3: Cross multiply
    1,335.94x = 2,931.47 × 2,931.47
  4. Step 4: Simplify right side
    1,335.94x = 8,593,509.03
  5. Step 5: Solve for x
    x = 8,593,509.03/1,335.94
  6. Step 6: Final answer
    x = 6,432.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.