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Finding the Third Proportional to 53,554 and 71,547

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Solution

The third proportional to 53,554 and 71,547 is: 95,585.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,554 : 71,547 = 71,547 : x
  2. Step 2: Convert to fraction form
    53,554/71,547 = 71,547/x
  3. Step 3: Cross multiply
    53,554x = 71,547 × 71,547
  4. Step 4: Simplify right side
    53,554x = 5,118,973,209
  5. Step 5: Solve for x
    x = 5,118,973,209/53,554
  6. Step 6: Final answer
    x = 95,585.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.