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Finding the Third Proportional to 10,925.63 and 23,281.13

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Solution

The third proportional to 10,925.63 and 23,281.13 is: 49,609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,925.63 : 23,281.13 = 23,281.13 : x
  2. Step 2: Convert to fraction form
    10,925.63/23,281.13 = 23,281.13/x
  3. Step 3: Cross multiply
    10,925.63x = 23,281.13 × 23,281.13
  4. Step 4: Simplify right side
    10,925.63x = 542,010,781.27
  5. Step 5: Solve for x
    x = 542,010,781.27/10,925.63
  6. Step 6: Final answer
    x = 49,609.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.