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Finding the Third Proportional to 48,807 and 66,297

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Solution

The third proportional to 48,807 and 66,297 is: 90,054.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,807 : 66,297 = 66,297 : x
  2. Step 2: Convert to fraction form
    48,807/66,297 = 66,297/x
  3. Step 3: Cross multiply
    48,807x = 66,297 × 66,297
  4. Step 4: Simplify right side
    48,807x = 4,395,292,209
  5. Step 5: Solve for x
    x = 4,395,292,209/48,807
  6. Step 6: Final answer
    x = 90,054.55

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.