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Finding the Third Proportional to 24,556 and 53,036

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Solution

The third proportional to 24,556 and 53,036 is: 114,547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,556 : 53,036 = 53,036 : x
  2. Step 2: Convert to fraction form
    24,556/53,036 = 53,036/x
  3. Step 3: Cross multiply
    24,556x = 53,036 × 53,036
  4. Step 4: Simplify right side
    24,556x = 2,812,817,296
  5. Step 5: Solve for x
    x = 2,812,817,296/24,556
  6. Step 6: Final answer
    x = 114,547.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.