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Finding the Third Proportional to 23,348.25 and 35,038.13

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Solution

The third proportional to 23,348.25 and 35,038.13 is: 52,580.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,348.25 : 35,038.13 = 35,038.13 : x
  2. Step 2: Convert to fraction form
    23,348.25/35,038.13 = 35,038.13/x
  3. Step 3: Cross multiply
    23,348.25x = 35,038.13 × 35,038.13
  4. Step 4: Simplify right side
    23,348.25x = 1,227,670,203.52
  5. Step 5: Solve for x
    x = 1,227,670,203.52/23,348.25
  6. Step 6: Final answer
    x = 52,580.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.