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Finding the Third Proportional to 29,691 and 45,631.50

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Solution

The third proportional to 29,691 and 45,631.50 is: 70,130.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,691 : 45,631.50 = 45,631.50 : x
  2. Step 2: Convert to fraction form
    29,691/45,631.50 = 45,631.50/x
  3. Step 3: Cross multiply
    29,691x = 45,631.50 × 45,631.50
  4. Step 4: Simplify right side
    29,691x = 2,082,233,792.25
  5. Step 5: Solve for x
    x = 2,082,233,792.25/29,691
  6. Step 6: Final answer
    x = 70,130.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.