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Finding the Third Proportional to 8,475 and 13,498.50

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Solution

The third proportional to 8,475 and 13,498.50 is: 21,499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,475 : 13,498.50 = 13,498.50 : x
  2. Step 2: Convert to fraction form
    8,475/13,498.50 = 13,498.50/x
  3. Step 3: Cross multiply
    8,475x = 13,498.50 × 13,498.50
  4. Step 4: Simplify right side
    8,475x = 182,209,502.25
  5. Step 5: Solve for x
    x = 182,209,502.25/8,475
  6. Step 6: Final answer
    x = 21,499.65

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.