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Finding the Third Proportional to 30,889 and 67,792.50

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Solution

The third proportional to 30,889 and 67,792.50 is: 148,785.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,889 : 67,792.50 = 67,792.50 : x
  2. Step 2: Convert to fraction form
    30,889/67,792.50 = 67,792.50/x
  3. Step 3: Cross multiply
    30,889x = 67,792.50 × 67,792.50
  4. Step 4: Simplify right side
    30,889x = 4,595,823,056.25
  5. Step 5: Solve for x
    x = 4,595,823,056.25/30,889
  6. Step 6: Final answer
    x = 148,785.10

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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.