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Finding the Third Proportional to 6,547 and 13,991

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Solution

The third proportional to 6,547 and 13,991 is: 29,898.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547 : 13,991 = 13,991 : x
  2. Step 2: Convert to fraction form
    6,547/13,991 = 13,991/x
  3. Step 3: Cross multiply
    6,547x = 13,991 × 13,991
  4. Step 4: Simplify right side
    6,547x = 195,748,081
  5. Step 5: Solve for x
    x = 195,748,081/6,547
  6. Step 6: Final answer
    x = 29,898.90

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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.