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Finding the Third Proportional to 22,953.38 and 52,903.13

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Solution

The third proportional to 22,953.38 and 52,903.13 is: 121,931.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,953.38 : 52,903.13 = 52,903.13 : x
  2. Step 2: Convert to fraction form
    22,953.38/52,903.13 = 52,903.13/x
  3. Step 3: Cross multiply
    22,953.38x = 52,903.13 × 52,903.13
  4. Step 4: Simplify right side
    22,953.38x = 2,798,740,634.77
  5. Step 5: Solve for x
    x = 2,798,740,634.77/22,953.38
  6. Step 6: Final answer
    x = 121,931.55

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.