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Finding the Third Proportional to 24,352 and 53,090

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Solution

The third proportional to 24,352 and 53,090 is: 115,741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,352 : 53,090 = 53,090 : x
  2. Step 2: Convert to fraction form
    24,352/53,090 = 53,090/x
  3. Step 3: Cross multiply
    24,352x = 53,090 × 53,090
  4. Step 4: Simplify right side
    24,352x = 2,818,548,100
  5. Step 5: Solve for x
    x = 2,818,548,100/24,352
  6. Step 6: Final answer
    x = 115,741.96

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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.