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Finding the Third Proportional to 23,303 and 49,901.50

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Solution

The third proportional to 23,303 and 49,901.50 is: 106,860.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,303 : 49,901.50 = 49,901.50 : x
  2. Step 2: Convert to fraction form
    23,303/49,901.50 = 49,901.50/x
  3. Step 3: Cross multiply
    23,303x = 49,901.50 × 49,901.50
  4. Step 4: Simplify right side
    23,303x = 2,490,159,702.25
  5. Step 5: Solve for x
    x = 2,490,159,702.25/23,303
  6. Step 6: Final answer
    x = 106,860.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.