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Finding the Third Proportional to 14,985 and 23,506

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Solution

The third proportional to 14,985 and 23,506 is: 36,872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,985 : 23,506 = 23,506 : x
  2. Step 2: Convert to fraction form
    14,985/23,506 = 23,506/x
  3. Step 3: Cross multiply
    14,985x = 23,506 × 23,506
  4. Step 4: Simplify right side
    14,985x = 552,532,036
  5. Step 5: Solve for x
    x = 552,532,036/14,985
  6. Step 6: Final answer
    x = 36,872.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.