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Finding the Third Proportional to 26,316 and 55,588.50

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Solution

The third proportional to 26,316 and 55,588.50 is: 117,422.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,316 : 55,588.50 = 55,588.50 : x
  2. Step 2: Convert to fraction form
    26,316/55,588.50 = 55,588.50/x
  3. Step 3: Cross multiply
    26,316x = 55,588.50 × 55,588.50
  4. Step 4: Simplify right side
    26,316x = 3,090,081,332.25
  5. Step 5: Solve for x
    x = 3,090,081,332.25/26,316
  6. Step 6: Final answer
    x = 117,422.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.