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Finding the Third Proportional to 14,202 and 30,460

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Solution

The third proportional to 14,202 and 30,460 is: 65,329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202 : 30,460 = 30,460 : x
  2. Step 2: Convert to fraction form
    14,202/30,460 = 30,460/x
  3. Step 3: Cross multiply
    14,202x = 30,460 × 30,460
  4. Step 4: Simplify right side
    14,202x = 927,811,600
  5. Step 5: Solve for x
    x = 927,811,600/14,202
  6. Step 6: Final answer
    x = 65,329.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.