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Finding the Third Proportional to 9,545.34 and 22,568.63

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Solution

The third proportional to 9,545.34 and 22,568.63 is: 53,360.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.34 : 22,568.63 = 22,568.63 : x
  2. Step 2: Convert to fraction form
    9,545.34/22,568.63 = 22,568.63/x
  3. Step 3: Cross multiply
    9,545.34x = 22,568.63 × 22,568.63
  4. Step 4: Simplify right side
    9,545.34x = 509,342,834.39
  5. Step 5: Solve for x
    x = 509,342,834.39/9,545.34
  6. Step 6: Final answer
    x = 53,360.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.