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Finding the Third Proportional to 9,971 and 13,547

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Solution

The third proportional to 9,971 and 13,547 is: 18,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971 : 13,547 = 13,547 : x
  2. Step 2: Convert to fraction form
    9,971/13,547 = 13,547/x
  3. Step 3: Cross multiply
    9,971x = 13,547 × 13,547
  4. Step 4: Simplify right side
    9,971x = 183,521,209
  5. Step 5: Solve for x
    x = 183,521,209/9,971
  6. Step 6: Final answer
    x = 18,405.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.