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Finding the Third Proportional to 6,442.31 and 14,114.81

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Solution

The third proportional to 6,442.31 and 14,114.81 is: 30,924.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.31 : 14,114.81 = 14,114.81 : x
  2. Step 2: Convert to fraction form
    6,442.31/14,114.81 = 14,114.81/x
  3. Step 3: Cross multiply
    6,442.31x = 14,114.81 × 14,114.81
  4. Step 4: Simplify right side
    6,442.31x = 199,227,931.91
  5. Step 5: Solve for x
    x = 199,227,931.91/6,442.31
  6. Step 6: Final answer
    x = 30,924.91

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1.5x scale

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.