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Finding the Third Proportional to 14,560 and 31,196

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Solution

The third proportional to 14,560 and 31,196 is: 66,840.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,560 : 31,196 = 31,196 : x
  2. Step 2: Convert to fraction form
    14,560/31,196 = 31,196/x
  3. Step 3: Cross multiply
    14,560x = 31,196 × 31,196
  4. Step 4: Simplify right side
    14,560x = 973,190,416
  5. Step 5: Solve for x
    x = 973,190,416/14,560
  6. Step 6: Final answer
    x = 66,840.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.