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Finding the Third Proportional to 15,309 and 23,654.53

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Solution

The third proportional to 15,309 and 23,654.53 is: 36,549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,309 : 23,654.53 = 23,654.53 : x
  2. Step 2: Convert to fraction form
    15,309/23,654.53 = 23,654.53/x
  3. Step 3: Cross multiply
    15,309x = 23,654.53 × 23,654.53
  4. Step 4: Simplify right side
    15,309x = 559,536,848.66
  5. Step 5: Solve for x
    x = 559,536,848.66/15,309
  6. Step 6: Final answer
    x = 36,549.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.