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Finding the Third Proportional to 9,547 and 14,837

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Solution

The third proportional to 9,547 and 14,837 is: 23,058.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547 : 14,837 = 14,837 : x
  2. Step 2: Convert to fraction form
    9,547/14,837 = 14,837/x
  3. Step 3: Cross multiply
    9,547x = 14,837 × 14,837
  4. Step 4: Simplify right side
    9,547x = 220,136,569
  5. Step 5: Solve for x
    x = 220,136,569/9,547
  6. Step 6: Final answer
    x = 23,058.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.