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Finding the Third Proportional to 12,320 and 26,746

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Solution

The third proportional to 12,320 and 26,746 is: 58,064.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,320 : 26,746 = 26,746 : x
  2. Step 2: Convert to fraction form
    12,320/26,746 = 26,746/x
  3. Step 3: Cross multiply
    12,320x = 26,746 × 26,746
  4. Step 4: Simplify right side
    12,320x = 715,348,516
  5. Step 5: Solve for x
    x = 715,348,516/12,320
  6. Step 6: Final answer
    x = 58,064.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.