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Finding the Third Proportional to 9,709.88 and 15,570.56

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Solution

The third proportional to 9,709.88 and 15,570.56 is: 24,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.88 : 15,570.56 = 15,570.56 : x
  2. Step 2: Convert to fraction form
    9,709.88/15,570.56 = 15,570.56/x
  3. Step 3: Cross multiply
    9,709.88x = 15,570.56 × 15,570.56
  4. Step 4: Simplify right side
    9,709.88x = 242,442,416.57
  5. Step 5: Solve for x
    x = 242,442,416.57/9,709.88
  6. Step 6: Final answer
    x = 24,968.64

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.