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Finding the Third Proportional to 34,506 and 48,836.25

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Solution

The third proportional to 34,506 and 48,836.25 is: 69,117.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,506 : 48,836.25 = 48,836.25 : x
  2. Step 2: Convert to fraction form
    34,506/48,836.25 = 48,836.25/x
  3. Step 3: Cross multiply
    34,506x = 48,836.25 × 48,836.25
  4. Step 4: Simplify right side
    34,506x = 2,384,979,314.06
  5. Step 5: Solve for x
    x = 2,384,979,314.06/34,506
  6. Step 6: Final answer
    x = 69,117.81

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.