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Finding the Third Proportional to 25,996.50 and 56,547

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Solution

The third proportional to 25,996.50 and 56,547 is: 122,999.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,996.50 : 56,547 = 56,547 : x
  2. Step 2: Convert to fraction form
    25,996.50/56,547 = 56,547/x
  3. Step 3: Cross multiply
    25,996.50x = 56,547 × 56,547
  4. Step 4: Simplify right side
    25,996.50x = 3,197,563,209
  5. Step 5: Solve for x
    x = 3,197,563,209/25,996.50
  6. Step 6: Final answer
    x = 122,999.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.