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Finding the Third Proportional to 28,953 and 45,883

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Solution

The third proportional to 28,953 and 45,883 is: 72,712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,953 : 45,883 = 45,883 : x
  2. Step 2: Convert to fraction form
    28,953/45,883 = 45,883/x
  3. Step 3: Cross multiply
    28,953x = 45,883 × 45,883
  4. Step 4: Simplify right side
    28,953x = 2,105,249,689
  5. Step 5: Solve for x
    x = 2,105,249,689/28,953
  6. Step 6: Final answer
    x = 72,712.66

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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.