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Finding the Third Proportional to 24,437.25 and 53,248.50

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Solution

The third proportional to 24,437.25 and 53,248.50 is: 116,027.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,437.25 : 53,248.50 = 53,248.50 : x
  2. Step 2: Convert to fraction form
    24,437.25/53,248.50 = 53,248.50/x
  3. Step 3: Cross multiply
    24,437.25x = 53,248.50 × 53,248.50
  4. Step 4: Simplify right side
    24,437.25x = 2,835,402,752.25
  5. Step 5: Solve for x
    x = 2,835,402,752.25/24,437.25
  6. Step 6: Final answer
    x = 116,027.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.