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Finding the Third Proportional to 12,931 and 19,772.25

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Solution

The third proportional to 12,931 and 19,772.25 is: 30,232.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,931 : 19,772.25 = 19,772.25 : x
  2. Step 2: Convert to fraction form
    12,931/19,772.25 = 19,772.25/x
  3. Step 3: Cross multiply
    12,931x = 19,772.25 × 19,772.25
  4. Step 4: Simplify right side
    12,931x = 390,941,870.06
  5. Step 5: Solve for x
    x = 390,941,870.06/12,931
  6. Step 6: Final answer
    x = 30,232.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.