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Finding the Third Proportional to 15,480 and 32,800

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Solution

The third proportional to 15,480 and 32,800 is: 69,498.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,480 : 32,800 = 32,800 : x
  2. Step 2: Convert to fraction form
    15,480/32,800 = 32,800/x
  3. Step 3: Cross multiply
    15,480x = 32,800 × 32,800
  4. Step 4: Simplify right side
    15,480x = 1,075,840,000
  5. Step 5: Solve for x
    x = 1,075,840,000/15,480
  6. Step 6: Final answer
    x = 69,498.71

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.