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Finding the Third Proportional to 45,820.13 and 70,948.13

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Solution

The third proportional to 45,820.13 and 70,948.13 is: 109,856.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,820.13 : 70,948.13 = 70,948.13 : x
  2. Step 2: Convert to fraction form
    45,820.13/70,948.13 = 70,948.13/x
  3. Step 3: Cross multiply
    45,820.13x = 70,948.13 × 70,948.13
  4. Step 4: Simplify right side
    45,820.13x = 5,033,636,441.02
  5. Step 5: Solve for x
    x = 5,033,636,441.02/45,820.13
  6. Step 6: Final answer
    x = 109,856.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.