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Finding the Third Proportional to 8,415 and 14,002.50

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Solution

The third proportional to 8,415 and 14,002.50 is: 23,300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415 : 14,002.50 = 14,002.50 : x
  2. Step 2: Convert to fraction form
    8,415/14,002.50 = 14,002.50/x
  3. Step 3: Cross multiply
    8,415x = 14,002.50 × 14,002.50
  4. Step 4: Simplify right side
    8,415x = 196,070,006.25
  5. Step 5: Solve for x
    x = 196,070,006.25/8,415
  6. Step 6: Final answer
    x = 23,300.06

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.