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Finding the Third Proportional to 12,307 and 26,365

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Solution

The third proportional to 12,307 and 26,365 is: 56,481.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307 : 26,365 = 26,365 : x
  2. Step 2: Convert to fraction form
    12,307/26,365 = 26,365/x
  3. Step 3: Cross multiply
    12,307x = 26,365 × 26,365
  4. Step 4: Simplify right side
    12,307x = 695,113,225
  5. Step 5: Solve for x
    x = 695,113,225/12,307
  6. Step 6: Final answer
    x = 56,481.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.