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Finding the Third Proportional to 3,140.02 and 4,598.02

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Solution

The third proportional to 3,140.02 and 4,598.02 is: 6,733.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.02 : 4,598.02 = 4,598.02 : x
  2. Step 2: Convert to fraction form
    3,140.02/4,598.02 = 4,598.02/x
  3. Step 3: Cross multiply
    3,140.02x = 4,598.02 × 4,598.02
  4. Step 4: Simplify right side
    3,140.02x = 21,141,747.69
  5. Step 5: Solve for x
    x = 21,141,747.69/3,140.02
  6. Step 6: Final answer
    x = 6,733.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.