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Finding the Third Proportional to 12,044 and 29,014

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Solution

The third proportional to 12,044 and 29,014 is: 69,894.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,044 : 29,014 = 29,014 : x
  2. Step 2: Convert to fraction form
    12,044/29,014 = 29,014/x
  3. Step 3: Cross multiply
    12,044x = 29,014 × 29,014
  4. Step 4: Simplify right side
    12,044x = 841,812,196
  5. Step 5: Solve for x
    x = 841,812,196/12,044
  6. Step 6: Final answer
    x = 69,894.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.