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Finding the Third Proportional to 37,752 and 52,910.63

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Solution

The third proportional to 37,752 and 52,910.63 is: 74,155.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,752 : 52,910.63 = 52,910.63 : x
  2. Step 2: Convert to fraction form
    37,752/52,910.63 = 52,910.63/x
  3. Step 3: Cross multiply
    37,752x = 52,910.63 × 52,910.63
  4. Step 4: Simplify right side
    37,752x = 2,799,534,237.89
  5. Step 5: Solve for x
    x = 2,799,534,237.89/37,752
  6. Step 6: Final answer
    x = 74,155.92

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.