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Finding the Third Proportional to 29,448 and 63,913.50

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Solution

The third proportional to 29,448 and 63,913.50 is: 138,716.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,448 : 63,913.50 = 63,913.50 : x
  2. Step 2: Convert to fraction form
    29,448/63,913.50 = 63,913.50/x
  3. Step 3: Cross multiply
    29,448x = 63,913.50 × 63,913.50
  4. Step 4: Simplify right side
    29,448x = 4,084,935,482.25
  5. Step 5: Solve for x
    x = 4,084,935,482.25/29,448
  6. Step 6: Final answer
    x = 138,716.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.