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Finding the Third Proportional to 37,547 and 66,746

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Solution

The third proportional to 37,547 and 66,746 is: 118,652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,547 : 66,746 = 66,746 : x
  2. Step 2: Convert to fraction form
    37,547/66,746 = 66,746/x
  3. Step 3: Cross multiply
    37,547x = 66,746 × 66,746
  4. Step 4: Simplify right side
    37,547x = 4,455,028,516
  5. Step 5: Solve for x
    x = 4,455,028,516/37,547
  6. Step 6: Final answer
    x = 118,652.05

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.