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Finding the Third Proportional to 29,248 and 65,264

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Solution

The third proportional to 29,248 and 65,264 is: 145,630.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,248 : 65,264 = 65,264 : x
  2. Step 2: Convert to fraction form
    29,248/65,264 = 65,264/x
  3. Step 3: Cross multiply
    29,248x = 65,264 × 65,264
  4. Step 4: Simplify right side
    29,248x = 4,259,389,696
  5. Step 5: Solve for x
    x = 4,259,389,696/29,248
  6. Step 6: Final answer
    x = 145,630.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.