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Finding the Third Proportional to 29,547 and 44,349.94

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Solution

The third proportional to 29,547 and 44,349.94 is: 66,569.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,547 : 44,349.94 = 44,349.94 : x
  2. Step 2: Convert to fraction form
    29,547/44,349.94 = 44,349.94/x
  3. Step 3: Cross multiply
    29,547x = 44,349.94 × 44,349.94
  4. Step 4: Simplify right side
    29,547x = 1,966,916,956.25
  5. Step 5: Solve for x
    x = 1,966,916,956.25/29,547
  6. Step 6: Final answer
    x = 66,569.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.