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Finding the Third Proportional to 23,752.13 and 37,607.63

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Solution

The third proportional to 23,752.13 and 37,607.63 is: 59,545.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,752.13 : 37,607.63 = 37,607.63 : x
  2. Step 2: Convert to fraction form
    23,752.13/37,607.63 = 37,607.63/x
  3. Step 3: Cross multiply
    23,752.13x = 37,607.63 × 37,607.63
  4. Step 4: Simplify right side
    23,752.13x = 1,414,333,458.14
  5. Step 5: Solve for x
    x = 1,414,333,458.14/23,752.13
  6. Step 6: Final answer
    x = 59,545.55

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.