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Finding the Third Proportional to 46,584 and 100,547

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Solution

The third proportional to 46,584 and 100,547 is: 217,020.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,584 : 100,547 = 100,547 : x
  2. Step 2: Convert to fraction form
    46,584/100,547 = 100,547/x
  3. Step 3: Cross multiply
    46,584x = 100,547 × 100,547
  4. Step 4: Simplify right side
    46,584x = 10,109,699,209
  5. Step 5: Solve for x
    x = 10,109,699,209/46,584
  6. Step 6: Final answer
    x = 217,020.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.