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Finding the Third Proportional to 11,386 and 19,988

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Solution

The third proportional to 11,386 and 19,988 is: 35,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,386 : 19,988 = 19,988 : x
  2. Step 2: Convert to fraction form
    11,386/19,988 = 19,988/x
  3. Step 3: Cross multiply
    11,386x = 19,988 × 19,988
  4. Step 4: Simplify right side
    11,386x = 399,520,144
  5. Step 5: Solve for x
    x = 399,520,144/11,386
  6. Step 6: Final answer
    x = 35,088.72

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.