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Finding the Third Proportional to 27,424 and 59,547

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Solution

The third proportional to 27,424 and 59,547 is: 129,297.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,424 : 59,547 = 59,547 : x
  2. Step 2: Convert to fraction form
    27,424/59,547 = 59,547/x
  3. Step 3: Cross multiply
    27,424x = 59,547 × 59,547
  4. Step 4: Simplify right side
    27,424x = 3,545,845,209
  5. Step 5: Solve for x
    x = 3,545,845,209/27,424
  6. Step 6: Final answer
    x = 129,297.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.