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Finding the Third Proportional to 12,506 and 27,335

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Solution

The third proportional to 12,506 and 27,335 is: 59,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506 : 27,335 = 27,335 : x
  2. Step 2: Convert to fraction form
    12,506/27,335 = 27,335/x
  3. Step 3: Cross multiply
    12,506x = 27,335 × 27,335
  4. Step 4: Simplify right side
    12,506x = 747,202,225
  5. Step 5: Solve for x
    x = 747,202,225/12,506
  6. Step 6: Final answer
    x = 59,747.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.