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Finding the Third Proportional to 27,259.50 and 56,220

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Solution

The third proportional to 27,259.50 and 56,220 is: 115,948.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,259.50 : 56,220 = 56,220 : x
  2. Step 2: Convert to fraction form
    27,259.50/56,220 = 56,220/x
  3. Step 3: Cross multiply
    27,259.50x = 56,220 × 56,220
  4. Step 4: Simplify right side
    27,259.50x = 3,160,688,400
  5. Step 5: Solve for x
    x = 3,160,688,400/27,259.50
  6. Step 6: Final answer
    x = 115,948.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.