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Finding the Third Proportional to 36,564 and 49,547

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Solution

The third proportional to 36,564 and 49,547 is: 67,139.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,564 : 49,547 = 49,547 : x
  2. Step 2: Convert to fraction form
    36,564/49,547 = 49,547/x
  3. Step 3: Cross multiply
    36,564x = 49,547 × 49,547
  4. Step 4: Simplify right side
    36,564x = 2,454,905,209
  5. Step 5: Solve for x
    x = 2,454,905,209/36,564
  6. Step 6: Final answer
    x = 67,139.95

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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.