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Finding the Third Proportional to 45,388 and 63,618

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Solution

The third proportional to 45,388 and 63,618 is: 89,170.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,388 : 63,618 = 63,618 : x
  2. Step 2: Convert to fraction form
    45,388/63,618 = 63,618/x
  3. Step 3: Cross multiply
    45,388x = 63,618 × 63,618
  4. Step 4: Simplify right side
    45,388x = 4,047,249,924
  5. Step 5: Solve for x
    x = 4,047,249,924/45,388
  6. Step 6: Final answer
    x = 89,170.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.