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Finding the Third Proportional to 29,053 and 43,465.50

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Solution

The third proportional to 29,053 and 43,465.50 is: 65,027.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,053 : 43,465.50 = 43,465.50 : x
  2. Step 2: Convert to fraction form
    29,053/43,465.50 = 43,465.50/x
  3. Step 3: Cross multiply
    29,053x = 43,465.50 × 43,465.50
  4. Step 4: Simplify right side
    29,053x = 1,889,249,690.25
  5. Step 5: Solve for x
    x = 1,889,249,690.25/29,053
  6. Step 6: Final answer
    x = 65,027.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.