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Finding the Third Proportional to 14,661 and 32,098.50

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Solution

The third proportional to 14,661 and 32,098.50 is: 70,275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,661 : 32,098.50 = 32,098.50 : x
  2. Step 2: Convert to fraction form
    14,661/32,098.50 = 32,098.50/x
  3. Step 3: Cross multiply
    14,661x = 32,098.50 × 32,098.50
  4. Step 4: Simplify right side
    14,661x = 1,030,313,702.25
  5. Step 5: Solve for x
    x = 1,030,313,702.25/14,661
  6. Step 6: Final answer
    x = 70,275.81

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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.