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Finding the Third Proportional to 48,024.75 and 70,480.13

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Solution

The third proportional to 48,024.75 and 70,480.13 is: 103,435.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,024.75 : 70,480.13 = 70,480.13 : x
  2. Step 2: Convert to fraction form
    48,024.75/70,480.13 = 70,480.13/x
  3. Step 3: Cross multiply
    48,024.75x = 70,480.13 × 70,480.13
  4. Step 4: Simplify right side
    48,024.75x = 4,967,448,020.02
  5. Step 5: Solve for x
    x = 4,967,448,020.02/48,024.75
  6. Step 6: Final answer
    x = 103,435.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.