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Finding the Third Proportional to 22,568.63 and 32,875.88

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Solution

The third proportional to 22,568.63 and 32,875.88 is: 47,890.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,568.63 : 32,875.88 = 32,875.88 : x
  2. Step 2: Convert to fraction form
    22,568.63/32,875.88 = 32,875.88/x
  3. Step 3: Cross multiply
    22,568.63x = 32,875.88 × 32,875.88
  4. Step 4: Simplify right side
    22,568.63x = 1,080,823,157.02
  5. Step 5: Solve for x
    x = 1,080,823,157.02/22,568.63
  6. Step 6: Final answer
    x = 47,890.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.