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Finding the Third Proportional to 31,457 and 48,277

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Solution

The third proportional to 31,457 and 48,277 is: 74,090.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,457 : 48,277 = 48,277 : x
  2. Step 2: Convert to fraction form
    31,457/48,277 = 48,277/x
  3. Step 3: Cross multiply
    31,457x = 48,277 × 48,277
  4. Step 4: Simplify right side
    31,457x = 2,330,668,729
  5. Step 5: Solve for x
    x = 2,330,668,729/31,457
  6. Step 6: Final answer
    x = 74,090.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.