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Finding the Third Proportional to 10,829 and 24,459

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Solution

The third proportional to 10,829 and 24,459 is: 55,244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829 : 24,459 = 24,459 : x
  2. Step 2: Convert to fraction form
    10,829/24,459 = 24,459/x
  3. Step 3: Cross multiply
    10,829x = 24,459 × 24,459
  4. Step 4: Simplify right side
    10,829x = 598,242,681
  5. Step 5: Solve for x
    x = 598,242,681/10,829
  6. Step 6: Final answer
    x = 55,244.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.