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Finding the Third Proportional to 12,320 and 19,026.50

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Solution

The third proportional to 12,320 and 19,026.50 is: 29,383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,320 : 19,026.50 = 19,026.50 : x
  2. Step 2: Convert to fraction form
    12,320/19,026.50 = 19,026.50/x
  3. Step 3: Cross multiply
    12,320x = 19,026.50 × 19,026.50
  4. Step 4: Simplify right side
    12,320x = 362,007,702.25
  5. Step 5: Solve for x
    x = 362,007,702.25/12,320
  6. Step 6: Final answer
    x = 29,383.74

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