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Finding the Third Proportional to 19,904.48 and 29,035.76

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Solution

The third proportional to 19,904.48 and 29,035.76 is: 42,356.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,904.48 : 29,035.76 = 29,035.76 : x
  2. Step 2: Convert to fraction form
    19,904.48/29,035.76 = 29,035.76/x
  3. Step 3: Cross multiply
    19,904.48x = 29,035.76 × 29,035.76
  4. Step 4: Simplify right side
    19,904.48x = 843,075,231.75
  5. Step 5: Solve for x
    x = 843,075,231.75/19,904.48
  6. Step 6: Final answer
    x = 42,356.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.