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Finding the Third Proportional to 10,457 and 22,429

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Solution

The third proportional to 10,457 and 22,429 is: 48,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457 : 22,429 = 22,429 : x
  2. Step 2: Convert to fraction form
    10,457/22,429 = 22,429/x
  3. Step 3: Cross multiply
    10,457x = 22,429 × 22,429
  4. Step 4: Simplify right side
    10,457x = 503,060,041
  5. Step 5: Solve for x
    x = 503,060,041/10,457
  6. Step 6: Final answer
    x = 48,107.49

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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.