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Finding the Third Proportional to 29,807 and 64,454

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Solution

The third proportional to 29,807 and 64,454 is: 139,373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,807 : 64,454 = 64,454 : x
  2. Step 2: Convert to fraction form
    29,807/64,454 = 64,454/x
  3. Step 3: Cross multiply
    29,807x = 64,454 × 64,454
  4. Step 4: Simplify right side
    29,807x = 4,154,318,116
  5. Step 5: Solve for x
    x = 4,154,318,116/29,807
  6. Step 6: Final answer
    x = 139,373.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.