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Finding the Third Proportional to 13,348 and 30,897.50

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Solution

The third proportional to 13,348 and 30,897.50 is: 71,520.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,348 : 30,897.50 = 30,897.50 : x
  2. Step 2: Convert to fraction form
    13,348/30,897.50 = 30,897.50/x
  3. Step 3: Cross multiply
    13,348x = 30,897.50 × 30,897.50
  4. Step 4: Simplify right side
    13,348x = 954,655,506.25
  5. Step 5: Solve for x
    x = 954,655,506.25/13,348
  6. Step 6: Final answer
    x = 71,520.49

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.