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Finding the Third Proportional to 17,152 and 26,547

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Solution

The third proportional to 17,152 and 26,547 is: 41,088.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,152 : 26,547 = 26,547 : x
  2. Step 2: Convert to fraction form
    17,152/26,547 = 26,547/x
  3. Step 3: Cross multiply
    17,152x = 26,547 × 26,547
  4. Step 4: Simplify right side
    17,152x = 704,743,209
  5. Step 5: Solve for x
    x = 704,743,209/17,152
  6. Step 6: Final answer
    x = 41,088.11

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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.