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Finding the Third Proportional to 10,295 and 24,056

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Solution

The third proportional to 10,295 and 24,056 is: 56,210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295 : 24,056 = 24,056 : x
  2. Step 2: Convert to fraction form
    10,295/24,056 = 24,056/x
  3. Step 3: Cross multiply
    10,295x = 24,056 × 24,056
  4. Step 4: Simplify right side
    10,295x = 578,691,136
  5. Step 5: Solve for x
    x = 578,691,136/10,295
  6. Step 6: Final answer
    x = 56,210.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.