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Finding the Third Proportional to 23,506.50 and 55,470

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Solution

The third proportional to 23,506.50 and 55,470 is: 130,896.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,506.50 : 55,470 = 55,470 : x
  2. Step 2: Convert to fraction form
    23,506.50/55,470 = 55,470/x
  3. Step 3: Cross multiply
    23,506.50x = 55,470 × 55,470
  4. Step 4: Simplify right side
    23,506.50x = 3,076,920,900
  5. Step 5: Solve for x
    x = 3,076,920,900/23,506.50
  6. Step 6: Final answer
    x = 130,896.60

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.