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Finding the Third Proportional to 28,953.75 and 45,884.13

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Solution

The third proportional to 28,953.75 and 45,884.13 is: 72,714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,953.75 : 45,884.13 = 45,884.13 : x
  2. Step 2: Convert to fraction form
    28,953.75/45,884.13 = 45,884.13/x
  3. Step 3: Cross multiply
    28,953.75x = 45,884.13 × 45,884.13
  4. Step 4: Simplify right side
    28,953.75x = 2,105,352,927.02
  5. Step 5: Solve for x
    x = 2,105,352,927.02/28,953.75
  6. Step 6: Final answer
    x = 72,714.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.