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Finding the Third Proportional to 24,646.50 and 53,445

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Solution

The third proportional to 24,646.50 and 53,445 is: 115,893.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,646.50 : 53,445 = 53,445 : x
  2. Step 2: Convert to fraction form
    24,646.50/53,445 = 53,445/x
  3. Step 3: Cross multiply
    24,646.50x = 53,445 × 53,445
  4. Step 4: Simplify right side
    24,646.50x = 2,856,368,025
  5. Step 5: Solve for x
    x = 2,856,368,025/24,646.50
  6. Step 6: Final answer
    x = 115,893.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.