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Finding the Third Proportional to 35,830 and 53,547

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Solution

The third proportional to 35,830 and 53,547 is: 80,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,830 : 53,547 = 53,547 : x
  2. Step 2: Convert to fraction form
    35,830/53,547 = 53,547/x
  3. Step 3: Cross multiply
    35,830x = 53,547 × 53,547
  4. Step 4: Simplify right side
    35,830x = 2,867,281,209
  5. Step 5: Solve for x
    x = 2,867,281,209/35,830
  6. Step 6: Final answer
    x = 80,024.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.