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Finding the Third Proportional to 48,021.75 and 70,475.63

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Solution

The third proportional to 48,021.75 and 70,475.63 is: 103,428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,021.75 : 70,475.63 = 70,475.63 : x
  2. Step 2: Convert to fraction form
    48,021.75/70,475.63 = 70,475.63/x
  3. Step 3: Cross multiply
    48,021.75x = 70,475.63 × 70,475.63
  4. Step 4: Simplify right side
    48,021.75x = 4,966,813,719.14
  5. Step 5: Solve for x
    x = 4,966,813,719.14/48,021.75
  6. Step 6: Final answer
    x = 103,428.42

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Why These Related Problems?

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