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Finding the Third Proportional to 23,547 and 33,001.13

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Solution

The third proportional to 23,547 and 33,001.13 is: 46,251.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,547 : 33,001.13 = 33,001.13 : x
  2. Step 2: Convert to fraction form
    23,547/33,001.13 = 33,001.13/x
  3. Step 3: Cross multiply
    23,547x = 33,001.13 × 33,001.13
  4. Step 4: Simplify right side
    23,547x = 1,089,074,251.27
  5. Step 5: Solve for x
    x = 1,089,074,251.27/23,547
  6. Step 6: Final answer
    x = 46,251.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.