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Finding the Third Proportional to 49,369 and 70,547

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Solution

The third proportional to 49,369 and 70,547 is: 100,809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,369 : 70,547 = 70,547 : x
  2. Step 2: Convert to fraction form
    49,369/70,547 = 70,547/x
  3. Step 3: Cross multiply
    49,369x = 70,547 × 70,547
  4. Step 4: Simplify right side
    49,369x = 4,976,879,209
  5. Step 5: Solve for x
    x = 4,976,879,209/49,369
  6. Step 6: Final answer
    x = 100,809.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.