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Finding the Third Proportional to 4,577 and 6,547

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Solution

The third proportional to 4,577 and 6,547 is: 9,364.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577 : 6,547 = 6,547 : x
  2. Step 2: Convert to fraction form
    4,577/6,547 = 6,547/x
  3. Step 3: Cross multiply
    4,577x = 6,547 × 6,547
  4. Step 4: Simplify right side
    4,577x = 42,863,209
  5. Step 5: Solve for x
    x = 42,863,209/4,577
  6. Step 6: Final answer
    x = 9,364.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.