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Finding the Third Proportional to 29,989 and 44,011.50

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Solution

The third proportional to 29,989 and 44,011.50 is: 64,590.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,989 : 44,011.50 = 44,011.50 : x
  2. Step 2: Convert to fraction form
    29,989/44,011.50 = 44,011.50/x
  3. Step 3: Cross multiply
    29,989x = 44,011.50 × 44,011.50
  4. Step 4: Simplify right side
    29,989x = 1,937,012,132.25
  5. Step 5: Solve for x
    x = 1,937,012,132.25/29,989
  6. Step 6: Final answer
    x = 64,590.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.