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Finding the Third Proportional to 24,532 and 53,810

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Solution

The third proportional to 24,532 and 53,810 is: 118,030.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,532 : 53,810 = 53,810 : x
  2. Step 2: Convert to fraction form
    24,532/53,810 = 53,810/x
  3. Step 3: Cross multiply
    24,532x = 53,810 × 53,810
  4. Step 4: Simplify right side
    24,532x = 2,895,516,100
  5. Step 5: Solve for x
    x = 2,895,516,100/24,532
  6. Step 6: Final answer
    x = 118,030.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.