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Finding the Third Proportional to 29,958 and 57,585

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Solution

The third proportional to 29,958 and 57,585 is: 110,689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,958 : 57,585 = 57,585 : x
  2. Step 2: Convert to fraction form
    29,958/57,585 = 57,585/x
  3. Step 3: Cross multiply
    29,958x = 57,585 × 57,585
  4. Step 4: Simplify right side
    29,958x = 3,316,032,225
  5. Step 5: Solve for x
    x = 3,316,032,225/29,958
  6. Step 6: Final answer
    x = 110,689.37

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.