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Finding the Third Proportional to 22,907 and 37,547

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Solution

The third proportional to 22,907 and 37,547 is: 61,543.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,907 : 37,547 = 37,547 : x
  2. Step 2: Convert to fraction form
    22,907/37,547 = 37,547/x
  3. Step 3: Cross multiply
    22,907x = 37,547 × 37,547
  4. Step 4: Simplify right side
    22,907x = 1,409,777,209
  5. Step 5: Solve for x
    x = 1,409,777,209/22,907
  6. Step 6: Final answer
    x = 61,543.51

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.