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Finding the Third Proportional to 48,308 and 70,732

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Solution

The third proportional to 48,308 and 70,732 is: 103,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,308 : 70,732 = 70,732 : x
  2. Step 2: Convert to fraction form
    48,308/70,732 = 70,732/x
  3. Step 3: Cross multiply
    48,308x = 70,732 × 70,732
  4. Step 4: Simplify right side
    48,308x = 5,003,015,824
  5. Step 5: Solve for x
    x = 5,003,015,824/48,308
  6. Step 6: Final answer
    x = 103,564.95

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.