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Finding the Third Proportional to 14,418 and 22,953.38

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Solution

The third proportional to 14,418 and 22,953.38 is: 36,541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,418 : 22,953.38 = 22,953.38 : x
  2. Step 2: Convert to fraction form
    14,418/22,953.38 = 22,953.38/x
  3. Step 3: Cross multiply
    14,418x = 22,953.38 × 22,953.38
  4. Step 4: Simplify right side
    14,418x = 526,857,423.89
  5. Step 5: Solve for x
    x = 526,857,423.89/14,418
  6. Step 6: Final answer
    x = 36,541.64

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.