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Finding the Third Proportional to 8,535 and 13,045.50

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Solution

The third proportional to 8,535 and 13,045.50 is: 19,939.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535 : 13,045.50 = 13,045.50 : x
  2. Step 2: Convert to fraction form
    8,535/13,045.50 = 13,045.50/x
  3. Step 3: Cross multiply
    8,535x = 13,045.50 × 13,045.50
  4. Step 4: Simplify right side
    8,535x = 170,185,070.25
  5. Step 5: Solve for x
    x = 170,185,070.25/8,535
  6. Step 6: Final answer
    x = 19,939.67

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.