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Finding the Third Proportional to 15,397.44 and 21,452.50

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Solution

The third proportional to 15,397.44 and 21,452.50 is: 29,888.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,397.44 : 21,452.50 = 21,452.50 : x
  2. Step 2: Convert to fraction form
    15,397.44/21,452.50 = 21,452.50/x
  3. Step 3: Cross multiply
    15,397.44x = 21,452.50 × 21,452.50
  4. Step 4: Simplify right side
    15,397.44x = 460,209,756.25
  5. Step 5: Solve for x
    x = 460,209,756.25/15,397.44
  6. Step 6: Final answer
    x = 29,888.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.