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Finding the Third Proportional to 36,730 and 48,506

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Solution

The third proportional to 36,730 and 48,506 is: 64,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,730 : 48,506 = 48,506 : x
  2. Step 2: Convert to fraction form
    36,730/48,506 = 48,506/x
  3. Step 3: Cross multiply
    36,730x = 48,506 × 48,506
  4. Step 4: Simplify right side
    36,730x = 2,352,832,036
  5. Step 5: Solve for x
    x = 2,352,832,036/36,730
  6. Step 6: Final answer
    x = 64,057.50

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.