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Finding the Third Proportional to 22,714.50 and 53,056.88

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Solution

The third proportional to 22,714.50 and 53,056.88 is: 123,931.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.50 : 53,056.88 = 53,056.88 : x
  2. Step 2: Convert to fraction form
    22,714.50/53,056.88 = 53,056.88/x
  3. Step 3: Cross multiply
    22,714.50x = 53,056.88 × 53,056.88
  4. Step 4: Simplify right side
    22,714.50x = 2,815,031,984.77
  5. Step 5: Solve for x
    x = 2,815,031,984.77/22,714.50
  6. Step 6: Final answer
    x = 123,931.06

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.