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Finding the Third Proportional to 26,282 and 56,776

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Solution

The third proportional to 26,282 and 56,776 is: 122,651.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,282 : 56,776 = 56,776 : x
  2. Step 2: Convert to fraction form
    26,282/56,776 = 56,776/x
  3. Step 3: Cross multiply
    26,282x = 56,776 × 56,776
  4. Step 4: Simplify right side
    26,282x = 3,223,514,176
  5. Step 5: Solve for x
    x = 3,223,514,176/26,282
  6. Step 6: Final answer
    x = 122,651.02

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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.