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Finding the Third Proportional to 14,988 and 23,511

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Solution

The third proportional to 14,988 and 23,511 is: 36,880.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,988 : 23,511 = 23,511 : x
  2. Step 2: Convert to fraction form
    14,988/23,511 = 23,511/x
  3. Step 3: Cross multiply
    14,988x = 23,511 × 23,511
  4. Step 4: Simplify right side
    14,988x = 552,767,121
  5. Step 5: Solve for x
    x = 552,767,121/14,988
  6. Step 6: Final answer
    x = 36,880.65

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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.