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Finding the Third Proportional to 14,359 and 30,457

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Solution

The third proportional to 14,359 and 30,457 is: 64,602.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,359 : 30,457 = 30,457 : x
  2. Step 2: Convert to fraction form
    14,359/30,457 = 30,457/x
  3. Step 3: Cross multiply
    14,359x = 30,457 × 30,457
  4. Step 4: Simplify right side
    14,359x = 927,628,849
  5. Step 5: Solve for x
    x = 927,628,849/14,359
  6. Step 6: Final answer
    x = 64,602.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.