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Finding the Third Proportional to 29,547 and 61,587

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Solution

The third proportional to 29,547 and 61,587 is: 128,370.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,547 : 61,587 = 61,587 : x
  2. Step 2: Convert to fraction form
    29,547/61,587 = 61,587/x
  3. Step 3: Cross multiply
    29,547x = 61,587 × 61,587
  4. Step 4: Simplify right side
    29,547x = 3,792,958,569
  5. Step 5: Solve for x
    x = 3,792,958,569/29,547
  6. Step 6: Final answer
    x = 128,370.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.