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Finding the Third Proportional to 48,730 and 66,035

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Solution

The third proportional to 48,730 and 66,035 is: 89,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,730 : 66,035 = 66,035 : x
  2. Step 2: Convert to fraction form
    48,730/66,035 = 66,035/x
  3. Step 3: Cross multiply
    48,730x = 66,035 × 66,035
  4. Step 4: Simplify right side
    48,730x = 4,360,621,225
  5. Step 5: Solve for x
    x = 4,360,621,225/48,730
  6. Step 6: Final answer
    x = 89,485.35

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Why These Related Problems?

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