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Finding the Third Proportional to 14,396 and 31,459

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Solution

The third proportional to 14,396 and 31,459 is: 68,746.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396 : 31,459 = 31,459 : x
  2. Step 2: Convert to fraction form
    14,396/31,459 = 31,459/x
  3. Step 3: Cross multiply
    14,396x = 31,459 × 31,459
  4. Step 4: Simplify right side
    14,396x = 989,668,681
  5. Step 5: Solve for x
    x = 989,668,681/14,396
  6. Step 6: Final answer
    x = 68,746.09

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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.