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Finding the Third Proportional to 14,574.38 and 22,506.75

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Solution

The third proportional to 14,574.38 and 22,506.75 is: 34,756.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574.38 : 22,506.75 = 22,506.75 : x
  2. Step 2: Convert to fraction form
    14,574.38/22,506.75 = 22,506.75/x
  3. Step 3: Cross multiply
    14,574.38x = 22,506.75 × 22,506.75
  4. Step 4: Simplify right side
    14,574.38x = 506,553,795.56
  5. Step 5: Solve for x
    x = 506,553,795.56/14,574.38
  6. Step 6: Final answer
    x = 34,756.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.