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Finding the Third Proportional to 25,653 and 63,265.50

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Solution

The third proportional to 25,653 and 63,265.50 is: 156,025.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,653 : 63,265.50 = 63,265.50 : x
  2. Step 2: Convert to fraction form
    25,653/63,265.50 = 63,265.50/x
  3. Step 3: Cross multiply
    25,653x = 63,265.50 × 63,265.50
  4. Step 4: Simplify right side
    25,653x = 4,002,523,490.25
  5. Step 5: Solve for x
    x = 4,002,523,490.25/25,653
  6. Step 6: Final answer
    x = 156,025.55

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These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.