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Finding the Third Proportional to 12,480 and 19,277

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Solution

The third proportional to 12,480 and 19,277 is: 29,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,480 : 19,277 = 19,277 : x
  2. Step 2: Convert to fraction form
    12,480/19,277 = 19,277/x
  3. Step 3: Cross multiply
    12,480x = 19,277 × 19,277
  4. Step 4: Simplify right side
    12,480x = 371,602,729
  5. Step 5: Solve for x
    x = 371,602,729/12,480
  6. Step 6: Final answer
    x = 29,775.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.