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Finding the Third Proportional to 12,547 and 24,776.50

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Solution

The third proportional to 12,547 and 24,776.50 is: 48,926.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547 : 24,776.50 = 24,776.50 : x
  2. Step 2: Convert to fraction form
    12,547/24,776.50 = 24,776.50/x
  3. Step 3: Cross multiply
    12,547x = 24,776.50 × 24,776.50
  4. Step 4: Simplify right side
    12,547x = 613,874,952.25
  5. Step 5: Solve for x
    x = 613,874,952.25/12,547
  6. Step 6: Final answer
    x = 48,926.03

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.