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Finding the Third Proportional to 30,587 and 67,005.50

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Solution

The third proportional to 30,587 and 67,005.50 is: 146,785.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,587 : 67,005.50 = 67,005.50 : x
  2. Step 2: Convert to fraction form
    30,587/67,005.50 = 67,005.50/x
  3. Step 3: Cross multiply
    30,587x = 67,005.50 × 67,005.50
  4. Step 4: Simplify right side
    30,587x = 4,489,737,030.25
  5. Step 5: Solve for x
    x = 4,489,737,030.25/30,587
  6. Step 6: Final answer
    x = 146,785.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.