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Finding the Third Proportional to 31,090.50 and 48,465

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Solution

The third proportional to 31,090.50 and 48,465 is: 75,549.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,090.50 : 48,465 = 48,465 : x
  2. Step 2: Convert to fraction form
    31,090.50/48,465 = 48,465/x
  3. Step 3: Cross multiply
    31,090.50x = 48,465 × 48,465
  4. Step 4: Simplify right side
    31,090.50x = 2,348,856,225
  5. Step 5: Solve for x
    x = 2,348,856,225/31,090.50
  6. Step 6: Final answer
    x = 75,549.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.