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Finding the Third Proportional to 30,531 and 48,567.38

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Solution

The third proportional to 30,531 and 48,567.38 is: 77,258.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,531 : 48,567.38 = 48,567.38 : x
  2. Step 2: Convert to fraction form
    30,531/48,567.38 = 48,567.38/x
  3. Step 3: Cross multiply
    30,531x = 48,567.38 × 48,567.38
  4. Step 4: Simplify right side
    30,531x = 2,358,789,914.39
  5. Step 5: Solve for x
    x = 2,358,789,914.39/30,531
  6. Step 6: Final answer
    x = 77,258.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.